What is the Least Common Multiple of 53292 and 53299?

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 53292 and 53299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53292 and 53299, than apply into the LCM equation.

GCF(53292,53299) = 1
LCM(53292,53299) = ( 53292 × 53299) / 1
LCM(53292,53299) = 2840410308 / 1
LCM(53292,53299) = 2840410308

Least Common Multiple (LCM) of 53292 and 53299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53292 and 53299. First we will calculate the prime factors of 53292 and 53299.

Prime Factorization of 53292

Prime Factorization of 53299

Now multiplying the highest exponent prime factors to calculate the LCM of 53292 and 53299.

LCM(53292,53299) = 2² × 3¹ × 4441¹ × 53299¹
LCM(53292,53299) = 2840410308