What is the Least Common Multiple of 94950 and 94966?

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 94950 and 94966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94950 and 94966, than apply into the LCM equation.

GCF(94950,94966) = 2
LCM(94950,94966) = ( 94950 × 94966) / 2
LCM(94950,94966) = 9017021700 / 2
LCM(94950,94966) = 4508510850

Least Common Multiple (LCM) of 94950 and 94966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94950 and 94966. First we will calculate the prime factors of 94950 and 94966.

Prime Factorization of 94950

Prime Factorization of 94966

Now multiplying the highest exponent prime factors to calculate the LCM of 94950 and 94966.

LCM(94950,94966) = 2¹ × 3² × 5² × 211¹ × 103¹ × 461¹
LCM(94950,94966) = 4508510850