What is the Least Common Multiple of 78135 and 78142?

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 78142 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 78142, than apply into the LCM equation.

GCF(78135,78142) = 1
LCM(78135,78142) = ( 78135 × 78142) / 1
LCM(78135,78142) = 6105625170 / 1
LCM(78135,78142) = 6105625170

Least Common Multiple (LCM) of 78135 and 78142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78135 and 78142. First we will calculate the prime factors of 78135 and 78142.

Prime Factorization of 78135

Prime Factorization of 78142

Now multiplying the highest exponent prime factors to calculate the LCM of 78135 and 78142.

LCM(78135,78142) = 3¹ × 5¹ × 5209¹ × 2¹ × 89¹ × 439¹
LCM(78135,78142) = 6105625170