What is the Least Common Multiple of 36498 and 36502?

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 36498 and 36502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36498 and 36502, than apply into the LCM equation.

GCF(36498,36502) = 2
LCM(36498,36502) = ( 36498 × 36502) / 2
LCM(36498,36502) = 1332249996 / 2
LCM(36498,36502) = 666124998

Least Common Multiple (LCM) of 36498 and 36502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36498 and 36502. First we will calculate the prime factors of 36498 and 36502.

Prime Factorization of 36498

Prime Factorization of 36502

Now multiplying the highest exponent prime factors to calculate the LCM of 36498 and 36502.

LCM(36498,36502) = 2¹ × 3¹ × 7¹ × 11¹ × 79¹ × 18251¹
LCM(36498,36502) = 666124998