What is the Least Common Multiple of 87648 and 87654?

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 87654 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 87654, than apply into the LCM equation.

GCF(87648,87654) = 6
LCM(87648,87654) = ( 87648 × 87654) / 6
LCM(87648,87654) = 7682697792 / 6
LCM(87648,87654) = 1280449632

Least Common Multiple (LCM) of 87648 and 87654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87648 and 87654. First we will calculate the prime factors of 87648 and 87654.

Prime Factorization of 87648

Prime Factorization of 87654

Now multiplying the highest exponent prime factors to calculate the LCM of 87648 and 87654.

LCM(87648,87654) = 2⁵ × 3¹ × 11¹ × 83¹ × 7¹ × 2087¹
LCM(87648,87654) = 1280449632