What is the Least Common Multiple of 88640 and 88649?

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 88640 and 88649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88640 and 88649, than apply into the LCM equation.

GCF(88640,88649) = 1
LCM(88640,88649) = ( 88640 × 88649) / 1
LCM(88640,88649) = 7857847360 / 1
LCM(88640,88649) = 7857847360

Least Common Multiple (LCM) of 88640 and 88649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88640 and 88649. First we will calculate the prime factors of 88640 and 88649.

Prime Factorization of 88640

Prime Factorization of 88649

Now multiplying the highest exponent prime factors to calculate the LCM of 88640 and 88649.

LCM(88640,88649) = 2⁶ × 5¹ × 277¹ × 11¹ × 8059¹
LCM(88640,88649) = 7857847360