What is the Least Common Multiple of 78657 and 78674?

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 78657 and 78674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78657 and 78674, than apply into the LCM equation.

GCF(78657,78674) = 1
LCM(78657,78674) = ( 78657 × 78674) / 1
LCM(78657,78674) = 6188260818 / 1
LCM(78657,78674) = 6188260818

Least Common Multiple (LCM) of 78657 and 78674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78657 and 78674. First we will calculate the prime factors of 78657 and 78674.

Prime Factorization of 78657

Prime Factorization of 78674

Now multiplying the highest exponent prime factors to calculate the LCM of 78657 and 78674.

LCM(78657,78674) = 3¹ × 157¹ × 167¹ × 2¹ × 139¹ × 283¹
LCM(78657,78674) = 6188260818