What is the Least Common Multiple of 78456 and 78460?

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 78456 and 78460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78456 and 78460, than apply into the LCM equation.

GCF(78456,78460) = 4
LCM(78456,78460) = ( 78456 × 78460) / 4
LCM(78456,78460) = 6155657760 / 4
LCM(78456,78460) = 1538914440

Least Common Multiple (LCM) of 78456 and 78460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78456 and 78460. First we will calculate the prime factors of 78456 and 78460.

Prime Factorization of 78456

Prime Factorization of 78460

Now multiplying the highest exponent prime factors to calculate the LCM of 78456 and 78460.

LCM(78456,78460) = 2³ × 3¹ × 7¹ × 467¹ × 5¹ × 3923¹
LCM(78456,78460) = 1538914440