What is the Least Common Multiple of 78078 and 78096?

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 78078 and 78096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78078 and 78096, than apply into the LCM equation.

GCF(78078,78096) = 6
LCM(78078,78096) = ( 78078 × 78096) / 6
LCM(78078,78096) = 6097579488 / 6
LCM(78078,78096) = 1016263248

Least Common Multiple (LCM) of 78078 and 78096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78078 and 78096. First we will calculate the prime factors of 78078 and 78096.

Prime Factorization of 78078

Prime Factorization of 78096

Now multiplying the highest exponent prime factors to calculate the LCM of 78078 and 78096.

LCM(78078,78096) = 2⁴ × 3¹ × 7¹ × 11¹ × 13² × 1627¹
LCM(78078,78096) = 1016263248