What is the Least Common Multiple of 76498 and 76502?

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 76498 and 76502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76498 and 76502, than apply into the LCM equation.

GCF(76498,76502) = 2
LCM(76498,76502) = ( 76498 × 76502) / 2
LCM(76498,76502) = 5852249996 / 2
LCM(76498,76502) = 2926124998

Least Common Multiple (LCM) of 76498 and 76502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76498 and 76502. First we will calculate the prime factors of 76498 and 76502.

Prime Factorization of 76498

Prime Factorization of 76502

Now multiplying the highest exponent prime factors to calculate the LCM of 76498 and 76502.

LCM(76498,76502) = 2¹ × 23¹ × 1663¹ × 29¹ × 1319¹
LCM(76498,76502) = 2926124998