What is the Least Common Multiple of 59832 and 59852?

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 59832 and 59852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59832 and 59852, than apply into the LCM equation.

GCF(59832,59852) = 4
LCM(59832,59852) = ( 59832 × 59852) / 4
LCM(59832,59852) = 3581064864 / 4
LCM(59832,59852) = 895266216

Least Common Multiple (LCM) of 59832 and 59852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59832 and 59852. First we will calculate the prime factors of 59832 and 59852.

Prime Factorization of 59832

Prime Factorization of 59852

Now multiplying the highest exponent prime factors to calculate the LCM of 59832 and 59852.

LCM(59832,59852) = 2³ × 3³ × 277¹ × 13¹ × 1151¹
LCM(59832,59852) = 895266216