What is the Least Common Multiple of 53498 and 53504?

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 53498 and 53504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53498 and 53504, than apply into the LCM equation.

GCF(53498,53504) = 2
LCM(53498,53504) = ( 53498 × 53504) / 2
LCM(53498,53504) = 2862356992 / 2
LCM(53498,53504) = 1431178496

Least Common Multiple (LCM) of 53498 and 53504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53498 and 53504. First we will calculate the prime factors of 53498 and 53504.

Prime Factorization of 53498

Prime Factorization of 53504

Now multiplying the highest exponent prime factors to calculate the LCM of 53498 and 53504.

LCM(53498,53504) = 2⁸ × 23¹ × 1163¹ × 11¹ × 19¹
LCM(53498,53504) = 1431178496