What is the Least Common Multiple of 52260 and 52265?

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 52260 and 52265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52260 and 52265, than apply into the LCM equation.

GCF(52260,52265) = 5
LCM(52260,52265) = ( 52260 × 52265) / 5
LCM(52260,52265) = 2731368900 / 5
LCM(52260,52265) = 546273780

Least Common Multiple (LCM) of 52260 and 52265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52260 and 52265. First we will calculate the prime factors of 52260 and 52265.

Prime Factorization of 52260

Prime Factorization of 52265

Now multiplying the highest exponent prime factors to calculate the LCM of 52260 and 52265.

LCM(52260,52265) = 2² × 3¹ × 5¹ × 13¹ × 67¹ × 10453¹
LCM(52260,52265) = 546273780