What is the Least Common Multiple of 78567 and 78584?

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 78567 and 78584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78567 and 78584, than apply into the LCM equation.

GCF(78567,78584) = 1
LCM(78567,78584) = ( 78567 × 78584) / 1
LCM(78567,78584) = 6174109128 / 1
LCM(78567,78584) = 6174109128

Least Common Multiple (LCM) of 78567 and 78584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78567 and 78584. First we will calculate the prime factors of 78567 and 78584.

Prime Factorization of 78567

Prime Factorization of 78584

Now multiplying the highest exponent prime factors to calculate the LCM of 78567 and 78584.

LCM(78567,78584) = 3¹ × 26189¹ × 2³ × 11¹ × 19¹ × 47¹
LCM(78567,78584) = 6174109128