What is the Least Common Multiple of 78015 and 78021?

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 78021 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 78021, than apply into the LCM equation.

GCF(78015,78021) = 3
LCM(78015,78021) = ( 78015 × 78021) / 3
LCM(78015,78021) = 6086808315 / 3
LCM(78015,78021) = 2028936105

Least Common Multiple (LCM) of 78015 and 78021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78015 and 78021. First we will calculate the prime factors of 78015 and 78021.

Prime Factorization of 78015

Prime Factorization of 78021

Now multiplying the highest exponent prime factors to calculate the LCM of 78015 and 78021.

LCM(78015,78021) = 3² × 5¹ × 7¹ × 743¹ × 8669¹
LCM(78015,78021) = 2028936105