What is the Least Common Multiple of 87672 and 87677?

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 87672 and 87677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87672 and 87677, than apply into the LCM equation.

GCF(87672,87677) = 1
LCM(87672,87677) = ( 87672 × 87677) / 1
LCM(87672,87677) = 7686817944 / 1
LCM(87672,87677) = 7686817944

Least Common Multiple (LCM) of 87672 and 87677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87672 and 87677. First we will calculate the prime factors of 87672 and 87677.

Prime Factorization of 87672

Prime Factorization of 87677

Now multiplying the highest exponent prime factors to calculate the LCM of 87672 and 87677.

LCM(87672,87677) = 2³ × 3¹ × 13¹ × 281¹ × 43¹ × 2039¹
LCM(87672,87677) = 7686817944