What is the Least Common Multiple of 78135 and 78140?

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 78135 and 78140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78135 and 78140, than apply into the LCM equation.

GCF(78135,78140) = 5
LCM(78135,78140) = ( 78135 × 78140) / 5
LCM(78135,78140) = 6105468900 / 5
LCM(78135,78140) = 1221093780

Least Common Multiple (LCM) of 78135 and 78140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78135 and 78140. First we will calculate the prime factors of 78135 and 78140.

Prime Factorization of 78135

Prime Factorization of 78140

Now multiplying the highest exponent prime factors to calculate the LCM of 78135 and 78140.

LCM(78135,78140) = 3¹ × 5¹ × 5209¹ × 2² × 3907¹
LCM(78135,78140) = 1221093780