What is the Least Common Multiple of 78096 and 78101?

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 78096 and 78101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78096 and 78101, than apply into the LCM equation.

GCF(78096,78101) = 1
LCM(78096,78101) = ( 78096 × 78101) / 1
LCM(78096,78101) = 6099375696 / 1
LCM(78096,78101) = 6099375696

Least Common Multiple (LCM) of 78096 and 78101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78096 and 78101. First we will calculate the prime factors of 78096 and 78101.

Prime Factorization of 78096

Prime Factorization of 78101

Now multiplying the highest exponent prime factors to calculate the LCM of 78096 and 78101.

LCM(78096,78101) = 2⁴ × 3¹ × 1627¹ × 78101¹
LCM(78096,78101) = 6099375696