What is the Least Common Multiple of 53499 and 53505?

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 53499 and 53505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53499 and 53505, than apply into the LCM equation.

GCF(53499,53505) = 3
LCM(53499,53505) = ( 53499 × 53505) / 3
LCM(53499,53505) = 2862463995 / 3
LCM(53499,53505) = 954154665

Least Common Multiple (LCM) of 53499 and 53505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53499 and 53505. First we will calculate the prime factors of 53499 and 53505.

Prime Factorization of 53499

Prime Factorization of 53505

Now multiplying the highest exponent prime factors to calculate the LCM of 53499 and 53505.

LCM(53499,53505) = 3² × 17¹ × 1049¹ × 5¹ × 29¹ × 41¹
LCM(53499,53505) = 954154665