What is the Least Common Multiple of 78136 and 78154?

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 78136 and 78154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78136 and 78154, than apply into the LCM equation.

GCF(78136,78154) = 2
LCM(78136,78154) = ( 78136 × 78154) / 2
LCM(78136,78154) = 6106640944 / 2
LCM(78136,78154) = 3053320472

Least Common Multiple (LCM) of 78136 and 78154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78136 and 78154. First we will calculate the prime factors of 78136 and 78154.

Prime Factorization of 78136

Prime Factorization of 78154

Now multiplying the highest exponent prime factors to calculate the LCM of 78136 and 78154.

LCM(78136,78154) = 2³ × 9767¹ × 23¹ × 1699¹
LCM(78136,78154) = 3053320472