What is the Least Common Multiple of 52290 and 52299?

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 52290 and 52299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52290 and 52299, than apply into the LCM equation.

GCF(52290,52299) = 9
LCM(52290,52299) = ( 52290 × 52299) / 9
LCM(52290,52299) = 2734714710 / 9
LCM(52290,52299) = 303857190

Least Common Multiple (LCM) of 52290 and 52299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52290 and 52299. First we will calculate the prime factors of 52290 and 52299.

Prime Factorization of 52290

Prime Factorization of 52299

Now multiplying the highest exponent prime factors to calculate the LCM of 52290 and 52299.

LCM(52290,52299) = 2¹ × 3³ × 5¹ × 7¹ × 83¹ × 13¹ × 149¹
LCM(52290,52299) = 303857190