What is the Least Common Multiple of 68264 and 68272?

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 68264 and 68272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68264 and 68272, than apply into the LCM equation.

GCF(68264,68272) = 8
LCM(68264,68272) = ( 68264 × 68272) / 8
LCM(68264,68272) = 4660519808 / 8
LCM(68264,68272) = 582564976

Least Common Multiple (LCM) of 68264 and 68272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68264 and 68272. First we will calculate the prime factors of 68264 and 68272.

Prime Factorization of 68264

Prime Factorization of 68272

Now multiplying the highest exponent prime factors to calculate the LCM of 68264 and 68272.

LCM(68264,68272) = 2⁴ × 7¹ × 23¹ × 53¹ × 17¹ × 251¹
LCM(68264,68272) = 582564976