What is the Least Common Multiple of 78146 and 78164?

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 78146 and 78164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78146 and 78164, than apply into the LCM equation.

GCF(78146,78164) = 2
LCM(78146,78164) = ( 78146 × 78164) / 2
LCM(78146,78164) = 6108203944 / 2
LCM(78146,78164) = 3054101972

Least Common Multiple (LCM) of 78146 and 78164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78146 and 78164. First we will calculate the prime factors of 78146 and 78164.

Prime Factorization of 78146

Prime Factorization of 78164

Now multiplying the highest exponent prime factors to calculate the LCM of 78146 and 78164.

LCM(78146,78164) = 2² × 41¹ × 953¹ × 19541¹
LCM(78146,78164) = 3054101972