What is the Least Common Multiple of 88498 and 88502?

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 88498 and 88502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88498 and 88502, than apply into the LCM equation.

GCF(88498,88502) = 2
LCM(88498,88502) = ( 88498 × 88502) / 2
LCM(88498,88502) = 7832249996 / 2
LCM(88498,88502) = 3916124998

Least Common Multiple (LCM) of 88498 and 88502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88498 and 88502. First we will calculate the prime factors of 88498 and 88502.

Prime Factorization of 88498

Prime Factorization of 88502

Now multiplying the highest exponent prime factors to calculate the LCM of 88498 and 88502.

LCM(88498,88502) = 2¹ × 44249¹ × 17¹ × 19¹ × 137¹
LCM(88498,88502) = 3916124998