What is the Least Common Multiple of 64172 and 64192?

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 64172 and 64192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64172 and 64192, than apply into the LCM equation.

GCF(64172,64192) = 4
LCM(64172,64192) = ( 64172 × 64192) / 4
LCM(64172,64192) = 4119329024 / 4
LCM(64172,64192) = 1029832256

Least Common Multiple (LCM) of 64172 and 64192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64172 and 64192. First we will calculate the prime factors of 64172 and 64192.

Prime Factorization of 64172

Prime Factorization of 64192

Now multiplying the highest exponent prime factors to calculate the LCM of 64172 and 64192.

LCM(64172,64192) = 2⁶ × 61¹ × 263¹ × 17¹ × 59¹
LCM(64172,64192) = 1029832256