What is the Least Common Multiple of 16152 and 16172?

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 16152 and 16172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16152 and 16172, than apply into the LCM equation.

GCF(16152,16172) = 4
LCM(16152,16172) = ( 16152 × 16172) / 4
LCM(16152,16172) = 261210144 / 4
LCM(16152,16172) = 65302536

Least Common Multiple (LCM) of 16152 and 16172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16152 and 16172. First we will calculate the prime factors of 16152 and 16172.

Prime Factorization of 16152

Prime Factorization of 16172

Now multiplying the highest exponent prime factors to calculate the LCM of 16152 and 16172.

LCM(16152,16172) = 2³ × 3¹ × 673¹ × 13¹ × 311¹
LCM(16152,16172) = 65302536