What is the Least Common Multiple of 48498 and 48502?

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 48498 and 48502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48498 and 48502, than apply into the LCM equation.

GCF(48498,48502) = 2
LCM(48498,48502) = ( 48498 × 48502) / 2
LCM(48498,48502) = 2352249996 / 2
LCM(48498,48502) = 1176124998

Least Common Multiple (LCM) of 48498 and 48502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48498 and 48502. First we will calculate the prime factors of 48498 and 48502.

Prime Factorization of 48498

Prime Factorization of 48502

Now multiplying the highest exponent prime factors to calculate the LCM of 48498 and 48502.

LCM(48498,48502) = 2¹ × 3¹ × 59¹ × 137¹ × 24251¹
LCM(48498,48502) = 1176124998