What is the Least Common Multiple of 53046 and 53064?

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 53046 and 53064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53046 and 53064, than apply into the LCM equation.

GCF(53046,53064) = 18
LCM(53046,53064) = ( 53046 × 53064) / 18
LCM(53046,53064) = 2814832944 / 18
LCM(53046,53064) = 156379608

Least Common Multiple (LCM) of 53046 and 53064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53046 and 53064. First we will calculate the prime factors of 53046 and 53064.

Prime Factorization of 53046

Prime Factorization of 53064

Now multiplying the highest exponent prime factors to calculate the LCM of 53046 and 53064.

LCM(53046,53064) = 2³ × 3² × 7¹ × 421¹ × 11¹ × 67¹
LCM(53046,53064) = 156379608