What is the Least Common Multiple of 94815 and 94830?

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 94815 and 94830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94815 and 94830, than apply into the LCM equation.

GCF(94815,94830) = 15
LCM(94815,94830) = ( 94815 × 94830) / 15
LCM(94815,94830) = 8991306450 / 15
LCM(94815,94830) = 599420430

Least Common Multiple (LCM) of 94815 and 94830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94815 and 94830. First we will calculate the prime factors of 94815 and 94830.

Prime Factorization of 94815

Prime Factorization of 94830

Now multiplying the highest exponent prime factors to calculate the LCM of 94815 and 94830.

LCM(94815,94830) = 3² × 5¹ × 7² × 43¹ × 2¹ × 29¹ × 109¹
LCM(94815,94830) = 599420430