What is the Least Common Multiple of 53070 and 53088?

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 53070 and 53088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53070 and 53088, than apply into the LCM equation.

GCF(53070,53088) = 6
LCM(53070,53088) = ( 53070 × 53088) / 6
LCM(53070,53088) = 2817380160 / 6
LCM(53070,53088) = 469563360

Least Common Multiple (LCM) of 53070 and 53088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53070 and 53088. First we will calculate the prime factors of 53070 and 53088.

Prime Factorization of 53070

Prime Factorization of 53088

Now multiplying the highest exponent prime factors to calculate the LCM of 53070 and 53088.

LCM(53070,53088) = 2⁵ × 3¹ × 5¹ × 29¹ × 61¹ × 7¹ × 79¹
LCM(53070,53088) = 469563360