What is the Least Common Multiple of 78975 and 78984?

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 78975 and 78984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78975 and 78984, than apply into the LCM equation.

GCF(78975,78984) = 9
LCM(78975,78984) = ( 78975 × 78984) / 9
LCM(78975,78984) = 6237761400 / 9
LCM(78975,78984) = 693084600

Least Common Multiple (LCM) of 78975 and 78984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78975 and 78984. First we will calculate the prime factors of 78975 and 78984.

Prime Factorization of 78975

Prime Factorization of 78984

Now multiplying the highest exponent prime factors to calculate the LCM of 78975 and 78984.

LCM(78975,78984) = 3⁵ × 5² × 13¹ × 2³ × 1097¹
LCM(78975,78984) = 693084600