What is the Least Common Multiple of 87659 and 87674?

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 87659 and 87674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87659 and 87674, than apply into the LCM equation.

GCF(87659,87674) = 1
LCM(87659,87674) = ( 87659 × 87674) / 1
LCM(87659,87674) = 7685415166 / 1
LCM(87659,87674) = 7685415166

Least Common Multiple (LCM) of 87659 and 87674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87659 and 87674. First we will calculate the prime factors of 87659 and 87674.

Prime Factorization of 87659

Prime Factorization of 87674

Now multiplying the highest exponent prime factors to calculate the LCM of 87659 and 87674.

LCM(87659,87674) = 11¹ × 13¹ × 613¹ × 2¹ × 59¹ × 743¹
LCM(87659,87674) = 7685415166