GCF and LCM Calculator Logo

What is the Least Common Multiple of 9498 and 9502?

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 9498 and 9502 is 45124998.

LCM(9498,9502) = 45124998

LCM Calculator and
and

Least Common Multiple of 9498 and 9502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9498 and 9502, than apply into the LCM equation.

GCF(9498,9502) = 2
LCM(9498,9502) = ( 9498 × 9502) / 2
LCM(9498,9502) = 90249996 / 2
LCM(9498,9502) = 45124998

Least Common Multiple (LCM) of 9498 and 9502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9498 and 9502. First we will calculate the prime factors of 9498 and 9502.

Prime Factorization of 9498

Prime factors of 9498 are 2, 3, 1583. Prime factorization of 9498 in exponential form is:

9498 = 21 × 31 × 15831

Prime Factorization of 9502

Prime factors of 9502 are 2, 4751. Prime factorization of 9502 in exponential form is:

9502 = 21 × 47511

Now multiplying the highest exponent prime factors to calculate the LCM of 9498 and 9502.

LCM(9498,9502) = 21 × 31 × 15831 × 47511
LCM(9498,9502) = 45124998