What is the Least Common Multiple of 89680 and 89688?

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 89680 and 89688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89680 and 89688, than apply into the LCM equation.

GCF(89680,89688) = 8
LCM(89680,89688) = ( 89680 × 89688) / 8
LCM(89680,89688) = 8043219840 / 8
LCM(89680,89688) = 1005402480

Least Common Multiple (LCM) of 89680 and 89688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89680 and 89688. First we will calculate the prime factors of 89680 and 89688.

Prime Factorization of 89680

Prime Factorization of 89688

Now multiplying the highest exponent prime factors to calculate the LCM of 89680 and 89688.

LCM(89680,89688) = 2⁴ × 5¹ × 19¹ × 59¹ × 3¹ × 37¹ × 101¹
LCM(89680,89688) = 1005402480