What is the Least Common Multiple of 30465 and 30477?

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 30465 and 30477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30465 and 30477, than apply into the LCM equation.

GCF(30465,30477) = 3
LCM(30465,30477) = ( 30465 × 30477) / 3
LCM(30465,30477) = 928481805 / 3
LCM(30465,30477) = 309493935

Least Common Multiple (LCM) of 30465 and 30477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30465 and 30477. First we will calculate the prime factors of 30465 and 30477.

Prime Factorization of 30465

Prime Factorization of 30477

Now multiplying the highest exponent prime factors to calculate the LCM of 30465 and 30477.

LCM(30465,30477) = 3² × 5¹ × 677¹ × 10159¹
LCM(30465,30477) = 309493935