What is the Least Common Multiple of 14612 and 14632?

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 14612 and 14632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14612 and 14632, than apply into the LCM equation.

GCF(14612,14632) = 4
LCM(14612,14632) = ( 14612 × 14632) / 4
LCM(14612,14632) = 213802784 / 4
LCM(14612,14632) = 53450696

Least Common Multiple (LCM) of 14612 and 14632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14612 and 14632. First we will calculate the prime factors of 14612 and 14632.

Prime Factorization of 14612

Prime Factorization of 14632

Now multiplying the highest exponent prime factors to calculate the LCM of 14612 and 14632.

LCM(14612,14632) = 2³ × 13¹ × 281¹ × 31¹ × 59¹
LCM(14612,14632) = 53450696