What is the Least Common Multiple of 65152 and 65172?

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 65152 and 65172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65152 and 65172, than apply into the LCM equation.

GCF(65152,65172) = 4
LCM(65152,65172) = ( 65152 × 65172) / 4
LCM(65152,65172) = 4246086144 / 4
LCM(65152,65172) = 1061521536

Least Common Multiple (LCM) of 65152 and 65172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65152 and 65172. First we will calculate the prime factors of 65152 and 65172.

Prime Factorization of 65152

Prime Factorization of 65172

Now multiplying the highest exponent prime factors to calculate the LCM of 65152 and 65172.

LCM(65152,65172) = 2⁷ × 509¹ × 3¹ × 5431¹
LCM(65152,65172) = 1061521536