What is the Least Common Multiple of 4815 and 4830?

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 4815 and 4830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4815 and 4830, than apply into the LCM equation.

GCF(4815,4830) = 15
LCM(4815,4830) = ( 4815 × 4830) / 15
LCM(4815,4830) = 23256450 / 15
LCM(4815,4830) = 1550430

Least Common Multiple (LCM) of 4815 and 4830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4830. First we will calculate the prime factors of 4815 and 4830.

Prime Factorization of 4815

Prime Factorization of 4830

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4830.

LCM(4815,4830) = 3² × 5¹ × 107¹ × 2¹ × 7¹ × 23¹
LCM(4815,4830) = 1550430