What is the Least Common Multiple of 87648 and 87667?

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 87648 and 87667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87648 and 87667, than apply into the LCM equation.

GCF(87648,87667) = 1
LCM(87648,87667) = ( 87648 × 87667) / 1
LCM(87648,87667) = 7683837216 / 1
LCM(87648,87667) = 7683837216

Least Common Multiple (LCM) of 87648 and 87667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87648 and 87667. First we will calculate the prime factors of 87648 and 87667.

Prime Factorization of 87648

Prime Factorization of 87667

Now multiplying the highest exponent prime factors to calculate the LCM of 87648 and 87667.

LCM(87648,87667) = 2⁵ × 3¹ × 11¹ × 83¹ × 29¹ × 3023¹
LCM(87648,87667) = 7683837216