What is the Least Common Multiple of 81152 and 81172?

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 81152 and 81172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81152 and 81172, than apply into the LCM equation.

GCF(81152,81172) = 4
LCM(81152,81172) = ( 81152 × 81172) / 4
LCM(81152,81172) = 6587270144 / 4
LCM(81152,81172) = 1646817536

Least Common Multiple (LCM) of 81152 and 81172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81152 and 81172. First we will calculate the prime factors of 81152 and 81172.

Prime Factorization of 81152

Prime Factorization of 81172

Now multiplying the highest exponent prime factors to calculate the LCM of 81152 and 81172.

LCM(81152,81172) = 2⁸ × 317¹ × 7¹ × 13¹ × 223¹
LCM(81152,81172) = 1646817536