What is the Least Common Multiple of 94815 and 94821?

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 94821 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 94821, than apply into the LCM equation.

GCF(94815,94821) = 3
LCM(94815,94821) = ( 94815 × 94821) / 3
LCM(94815,94821) = 8990453115 / 3
LCM(94815,94821) = 2996817705

Least Common Multiple (LCM) of 94815 and 94821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94815 and 94821. First we will calculate the prime factors of 94815 and 94821.

Prime Factorization of 94815

Prime Factorization of 94821

Now multiplying the highest exponent prime factors to calculate the LCM of 94815 and 94821.

LCM(94815,94821) = 3² × 5¹ × 7² × 43¹ × 31607¹
LCM(94815,94821) = 2996817705