What is the Least Common Multiple of 78015 and 78022?

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 78015 and 78022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78015 and 78022, than apply into the LCM equation.

GCF(78015,78022) = 7
LCM(78015,78022) = ( 78015 × 78022) / 7
LCM(78015,78022) = 6086886330 / 7
LCM(78015,78022) = 869555190

Least Common Multiple (LCM) of 78015 and 78022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78015 and 78022. First we will calculate the prime factors of 78015 and 78022.

Prime Factorization of 78015

Prime Factorization of 78022

Now multiplying the highest exponent prime factors to calculate the LCM of 78015 and 78022.

LCM(78015,78022) = 3¹ × 5¹ × 7¹ × 743¹ × 2¹ × 5573¹
LCM(78015,78022) = 869555190