What is the Least Common Multiple of 53064 and 53070?

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 53064 and 53070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53064 and 53070, than apply into the LCM equation.

GCF(53064,53070) = 6
LCM(53064,53070) = ( 53064 × 53070) / 6
LCM(53064,53070) = 2816106480 / 6
LCM(53064,53070) = 469351080

Least Common Multiple (LCM) of 53064 and 53070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53064 and 53070. First we will calculate the prime factors of 53064 and 53070.

Prime Factorization of 53064

Prime Factorization of 53070

Now multiplying the highest exponent prime factors to calculate the LCM of 53064 and 53070.

LCM(53064,53070) = 2³ × 3² × 11¹ × 67¹ × 5¹ × 29¹ × 61¹
LCM(53064,53070) = 469351080