What is the Least Common Multiple of 67360 and 67378?
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 67360 and 67378 is 2269291040.
LCM(67360,67378) = 2269291040
Least Common Multiple of 67360 and 67378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67360 and 67378, than apply into the LCM equation.
GCF(67360,67378) = 2
LCM(67360,67378) = ( 67360 × 67378) / 2
LCM(67360,67378) = 4538582080 / 2
LCM(67360,67378) = 2269291040
Least Common Multiple (LCM) of 67360 and 67378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67360 and 67378. First we will calculate the prime factors of 67360 and 67378.
Prime Factorization of 67360
Prime factors of 67360 are 2, 5, 421. Prime factorization of 67360 in exponential form is:
67360 = 25 × 51 × 4211
Prime Factorization of 67378
Prime factors of 67378 are 2, 59, 571. Prime factorization of 67378 in exponential form is:
67378 = 21 × 591 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 67360 and 67378.
LCM(67360,67378) = 25 × 51 × 4211 × 591 × 5711
LCM(67360,67378) = 2269291040
Related Least Common Multiples of 67360
- LCM of 67360 and 67364
- LCM of 67360 and 67365
- LCM of 67360 and 67366
- LCM of 67360 and 67367
- LCM of 67360 and 67368
- LCM of 67360 and 67369
- LCM of 67360 and 67370
- LCM of 67360 and 67371
- LCM of 67360 and 67372
- LCM of 67360 and 67373
- LCM of 67360 and 67374
- LCM of 67360 and 67375
- LCM of 67360 and 67376
- LCM of 67360 and 67377
- LCM of 67360 and 67378
- LCM of 67360 and 67379
- LCM of 67360 and 67380
Related Least Common Multiples of 67378
- LCM of 67378 and 67382
- LCM of 67378 and 67383
- LCM of 67378 and 67384
- LCM of 67378 and 67385
- LCM of 67378 and 67386
- LCM of 67378 and 67387
- LCM of 67378 and 67388
- LCM of 67378 and 67389
- LCM of 67378 and 67390
- LCM of 67378 and 67391
- LCM of 67378 and 67392
- LCM of 67378 and 67393
- LCM of 67378 and 67394
- LCM of 67378 and 67395
- LCM of 67378 and 67396
- LCM of 67378 and 67397
- LCM of 67378 and 67398