What is the Least Common Multiple of 88652 and 88672?

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 88652 and 88672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88652 and 88672, than apply into the LCM equation.

GCF(88652,88672) = 4
LCM(88652,88672) = ( 88652 × 88672) / 4
LCM(88652,88672) = 7860950144 / 4
LCM(88652,88672) = 1965237536

Least Common Multiple (LCM) of 88652 and 88672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88652 and 88672. First we will calculate the prime factors of 88652 and 88672.

Prime Factorization of 88652

Prime Factorization of 88672

Now multiplying the highest exponent prime factors to calculate the LCM of 88652 and 88672.

LCM(88652,88672) = 2⁵ × 37¹ × 599¹ × 17¹ × 163¹
LCM(88652,88672) = 1965237536