What is the Least Common Multiple of 82460 and 82472?

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 82460 and 82472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82460 and 82472, than apply into the LCM equation.

GCF(82460,82472) = 4
LCM(82460,82472) = ( 82460 × 82472) / 4
LCM(82460,82472) = 6800641120 / 4
LCM(82460,82472) = 1700160280

Least Common Multiple (LCM) of 82460 and 82472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82460 and 82472. First we will calculate the prime factors of 82460 and 82472.

Prime Factorization of 82460

Prime Factorization of 82472

Now multiplying the highest exponent prime factors to calculate the LCM of 82460 and 82472.

LCM(82460,82472) = 2³ × 5¹ × 7¹ × 19¹ × 31¹ × 13² × 61¹
LCM(82460,82472) = 1700160280