What is the Least Common Multiple of 40498 and 40502?

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 40498 and 40502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40498 and 40502, than apply into the LCM equation.

GCF(40498,40502) = 2
LCM(40498,40502) = ( 40498 × 40502) / 2
LCM(40498,40502) = 1640249996 / 2
LCM(40498,40502) = 820124998

Least Common Multiple (LCM) of 40498 and 40502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40498 and 40502. First we will calculate the prime factors of 40498 and 40502.

Prime Factorization of 40498

Prime Factorization of 40502

Now multiplying the highest exponent prime factors to calculate the LCM of 40498 and 40502.

LCM(40498,40502) = 2¹ × 20249¹ × 7¹ × 11¹ × 263¹
LCM(40498,40502) = 820124998