What is the Least Common Multiple of 78460 and 78468?

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 78460 and 78468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78460 and 78468, than apply into the LCM equation.

GCF(78460,78468) = 4
LCM(78460,78468) = ( 78460 × 78468) / 4
LCM(78460,78468) = 6156599280 / 4
LCM(78460,78468) = 1539149820

Least Common Multiple (LCM) of 78460 and 78468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78460 and 78468. First we will calculate the prime factors of 78460 and 78468.

Prime Factorization of 78460

Prime Factorization of 78468

Now multiplying the highest exponent prime factors to calculate the LCM of 78460 and 78468.

LCM(78460,78468) = 2² × 5¹ × 3923¹ × 3¹ × 13¹ × 503¹
LCM(78460,78468) = 1539149820