What is the Least Common Multiple of 53046 and 53061?

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 53061 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 53061, than apply into the LCM equation.

GCF(53046,53061) = 3
LCM(53046,53061) = ( 53046 × 53061) / 3
LCM(53046,53061) = 2814673806 / 3
LCM(53046,53061) = 938224602

Least Common Multiple (LCM) of 53046 and 53061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53046 and 53061. First we will calculate the prime factors of 53046 and 53061.

Prime Factorization of 53046

Prime Factorization of 53061

Now multiplying the highest exponent prime factors to calculate the LCM of 53046 and 53061.

LCM(53046,53061) = 2¹ × 3² × 7¹ × 421¹ × 23¹ × 769¹
LCM(53046,53061) = 938224602