What is the Least Common Multiple of 78450 and 78456?

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 78450 and 78456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78450 and 78456, than apply into the LCM equation.

GCF(78450,78456) = 6
LCM(78450,78456) = ( 78450 × 78456) / 6
LCM(78450,78456) = 6154873200 / 6
LCM(78450,78456) = 1025812200

Least Common Multiple (LCM) of 78450 and 78456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78450 and 78456. First we will calculate the prime factors of 78450 and 78456.

Prime Factorization of 78450

Prime Factorization of 78456

Now multiplying the highest exponent prime factors to calculate the LCM of 78450 and 78456.

LCM(78450,78456) = 2³ × 3¹ × 5² × 523¹ × 7¹ × 467¹
LCM(78450,78456) = 1025812200