What is the Least Common Multiple of 89488 and 89502?

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 89488 and 89502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89488 and 89502, than apply into the LCM equation.

GCF(89488,89502) = 14
LCM(89488,89502) = ( 89488 × 89502) / 14
LCM(89488,89502) = 8009354976 / 14
LCM(89488,89502) = 572096784

Least Common Multiple (LCM) of 89488 and 89502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89488 and 89502. First we will calculate the prime factors of 89488 and 89502.

Prime Factorization of 89488

Prime Factorization of 89502

Now multiplying the highest exponent prime factors to calculate the LCM of 89488 and 89502.

LCM(89488,89502) = 2⁴ × 7¹ × 17¹ × 47¹ × 3¹ × 2131¹
LCM(89488,89502) = 572096784