GCF and LCM Calculator Logo

What is the Least Common Multiple of 16498 and 16502?

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 (LCM) of 16498 and 16502 is 136124998.

LCM(16498,16502) = 136124998

LCM Calculator and
and

Least Common Multiple of 16498 and 16502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16498 and 16502, than apply into the LCM equation.

GCF(16498,16502) = 2
LCM(16498,16502) = ( 16498 × 16502) / 2
LCM(16498,16502) = 272249996 / 2
LCM(16498,16502) = 136124998

Least Common Multiple (LCM) of 16498 and 16502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16498 and 16502. First we will calculate the prime factors of 16498 and 16502.

Prime Factorization of 16498

Prime factors of 16498 are 2, 73, 113. Prime factorization of 16498 in exponential form is:

16498 = 21 × 731 × 1131

Prime Factorization of 16502

Prime factors of 16502 are 2, 37, 223. Prime factorization of 16502 in exponential form is:

16502 = 21 × 371 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 16498 and 16502.

LCM(16498,16502) = 21 × 731 × 1131 × 371 × 2231
LCM(16498,16502) = 136124998