What is the Least Common Multiple of 49355 and 49370?
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 49355 and 49370 is 487331270.
LCM(49355,49370) = 487331270
Least Common Multiple of 49355 and 49370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49355 and 49370, than apply into the LCM equation.
GCF(49355,49370) = 5
LCM(49355,49370) = ( 49355 × 49370) / 5
LCM(49355,49370) = 2436656350 / 5
LCM(49355,49370) = 487331270
Least Common Multiple (LCM) of 49355 and 49370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49355 and 49370. First we will calculate the prime factors of 49355 and 49370.
Prime Factorization of 49355
Prime factors of 49355 are 5, 9871. Prime factorization of 49355 in exponential form is:
49355 = 51 × 98711
Prime Factorization of 49370
Prime factors of 49370 are 2, 5, 4937. Prime factorization of 49370 in exponential form is:
49370 = 21 × 51 × 49371
Now multiplying the highest exponent prime factors to calculate the LCM of 49355 and 49370.
LCM(49355,49370) = 51 × 98711 × 21 × 49371
LCM(49355,49370) = 487331270
Related Least Common Multiples of 49355
- LCM of 49355 and 49359
- LCM of 49355 and 49360
- LCM of 49355 and 49361
- LCM of 49355 and 49362
- LCM of 49355 and 49363
- LCM of 49355 and 49364
- LCM of 49355 and 49365
- LCM of 49355 and 49366
- LCM of 49355 and 49367
- LCM of 49355 and 49368
- LCM of 49355 and 49369
- LCM of 49355 and 49370
- LCM of 49355 and 49371
- LCM of 49355 and 49372
- LCM of 49355 and 49373
- LCM of 49355 and 49374
- LCM of 49355 and 49375
Related Least Common Multiples of 49370
- LCM of 49370 and 49374
- LCM of 49370 and 49375
- LCM of 49370 and 49376
- LCM of 49370 and 49377
- LCM of 49370 and 49378
- LCM of 49370 and 49379
- LCM of 49370 and 49380
- LCM of 49370 and 49381
- LCM of 49370 and 49382
- LCM of 49370 and 49383
- LCM of 49370 and 49384
- LCM of 49370 and 49385
- LCM of 49370 and 49386
- LCM of 49370 and 49387
- LCM of 49370 and 49388
- LCM of 49370 and 49389
- LCM of 49370 and 49390