What is the Least Common Multiple of 53616 and 53632?

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 53616 and 53632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53616 and 53632, than apply into the LCM equation.

GCF(53616,53632) = 16
LCM(53616,53632) = ( 53616 × 53632) / 16
LCM(53616,53632) = 2875533312 / 16
LCM(53616,53632) = 179720832

Least Common Multiple (LCM) of 53616 and 53632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53616 and 53632. First we will calculate the prime factors of 53616 and 53632.

Prime Factorization of 53616

Prime Factorization of 53632

Now multiplying the highest exponent prime factors to calculate the LCM of 53616 and 53632.

LCM(53616,53632) = 2⁷ × 3¹ × 1117¹ × 419¹
LCM(53616,53632) = 179720832