What is the Least Common Multiple of 83460 and 83472?

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 83460 and 83472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83460 and 83472, than apply into the LCM equation.

GCF(83460,83472) = 12
LCM(83460,83472) = ( 83460 × 83472) / 12
LCM(83460,83472) = 6966573120 / 12
LCM(83460,83472) = 580547760

Least Common Multiple (LCM) of 83460 and 83472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83460 and 83472. First we will calculate the prime factors of 83460 and 83472.

Prime Factorization of 83460

Prime Factorization of 83472

Now multiplying the highest exponent prime factors to calculate the LCM of 83460 and 83472.

LCM(83460,83472) = 2⁴ × 3¹ × 5¹ × 13¹ × 107¹ × 37¹ × 47¹
LCM(83460,83472) = 580547760