What is the Least Common Multiple of 77360 and 77370?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 77360 and 77370 is 598534320.
LCM(77360,77370) = 598534320
Least Common Multiple of 77360 and 77370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77360 and 77370, than apply into the LCM equation.
GCF(77360,77370) = 10
LCM(77360,77370) = ( 77360 × 77370) / 10
LCM(77360,77370) = 5985343200 / 10
LCM(77360,77370) = 598534320
Least Common Multiple (LCM) of 77360 and 77370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77360 and 77370. First we will calculate the prime factors of 77360 and 77370.
Prime Factorization of 77360
Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:
77360 = 24 × 51 × 9671
Prime Factorization of 77370
Prime factors of 77370 are 2, 3, 5, 2579. Prime factorization of 77370 in exponential form is:
77370 = 21 × 31 × 51 × 25791
Now multiplying the highest exponent prime factors to calculate the LCM of 77360 and 77370.
LCM(77360,77370) = 24 × 51 × 9671 × 31 × 25791
LCM(77360,77370) = 598534320
Related Least Common Multiples of 77360
- LCM of 77360 and 77364
- LCM of 77360 and 77365
- LCM of 77360 and 77366
- LCM of 77360 and 77367
- LCM of 77360 and 77368
- LCM of 77360 and 77369
- LCM of 77360 and 77370
- LCM of 77360 and 77371
- LCM of 77360 and 77372
- LCM of 77360 and 77373
- LCM of 77360 and 77374
- LCM of 77360 and 77375
- LCM of 77360 and 77376
- LCM of 77360 and 77377
- LCM of 77360 and 77378
- LCM of 77360 and 77379
- LCM of 77360 and 77380
Related Least Common Multiples of 77370
- LCM of 77370 and 77374
- LCM of 77370 and 77375
- LCM of 77370 and 77376
- LCM of 77370 and 77377
- LCM of 77370 and 77378
- LCM of 77370 and 77379
- LCM of 77370 and 77380
- LCM of 77370 and 77381
- LCM of 77370 and 77382
- LCM of 77370 and 77383
- LCM of 77370 and 77384
- LCM of 77370 and 77385
- LCM of 77370 and 77386
- LCM of 77370 and 77387
- LCM of 77370 and 77388
- LCM of 77370 and 77389
- LCM of 77370 and 77390