What is the Least Common Multiple of 94801 and 94815?

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 94801 and 94815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94801 and 94815, than apply into the LCM equation.

GCF(94801,94815) = 7
LCM(94801,94815) = ( 94801 × 94815) / 7
LCM(94801,94815) = 8988556815 / 7
LCM(94801,94815) = 1284079545

Least Common Multiple (LCM) of 94801 and 94815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94801 and 94815. First we will calculate the prime factors of 94801 and 94815.

Prime Factorization of 94801

Prime Factorization of 94815

Now multiplying the highest exponent prime factors to calculate the LCM of 94801 and 94815.

LCM(94801,94815) = 7² × 29¹ × 467¹ × 3² × 5¹ × 43¹
LCM(94801,94815) = 1284079545