What is the Least Common Multiple of 78828 and 78840?

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 78828 and 78840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78828 and 78840, than apply into the LCM equation.

GCF(78828,78840) = 12
LCM(78828,78840) = ( 78828 × 78840) / 12
LCM(78828,78840) = 6214799520 / 12
LCM(78828,78840) = 517899960

Least Common Multiple (LCM) of 78828 and 78840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78828 and 78840. First we will calculate the prime factors of 78828 and 78840.

Prime Factorization of 78828

Prime Factorization of 78840

Now multiplying the highest exponent prime factors to calculate the LCM of 78828 and 78840.

LCM(78828,78840) = 2³ × 3³ × 6569¹ × 5¹ × 73¹
LCM(78828,78840) = 517899960