What is the Least Common Multiple of 53498 and 53503?

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 53503 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 53503, than apply into the LCM equation.

GCF(53498,53503) = 1
LCM(53498,53503) = ( 53498 × 53503) / 1
LCM(53498,53503) = 2862303494 / 1
LCM(53498,53503) = 2862303494

Least Common Multiple (LCM) of 53498 and 53503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53498 and 53503. First we will calculate the prime factors of 53498 and 53503.

Prime Factorization of 53498

Prime Factorization of 53503

Now multiplying the highest exponent prime factors to calculate the LCM of 53498 and 53503.

LCM(53498,53503) = 2¹ × 23¹ × 1163¹ × 53503¹
LCM(53498,53503) = 2862303494