What is the Least Common Multiple of 64316 and 64336?

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 of 64316 and 64336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64316 and 64336, than apply into the LCM equation.

GCF(64316,64336) = 4
LCM(64316,64336) = ( 64316 × 64336) / 4
LCM(64316,64336) = 4137834176 / 4
LCM(64316,64336) = 1034458544

Least Common Multiple (LCM) of 64316 and 64336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64316 and 64336. First we will calculate the prime factors of 64316 and 64336.

Prime Factorization of 64316

Prime Factorization of 64336

Now multiplying the highest exponent prime factors to calculate the LCM of 64316 and 64336.

LCM(64316,64336) = 2⁴ × 7¹ × 2297¹ × 4021¹
LCM(64316,64336) = 1034458544