What is the Least Common Multiple of 94950 and 94964?

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 94964 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 94964, than apply into the LCM equation.

GCF(94950,94964) = 2
LCM(94950,94964) = ( 94950 × 94964) / 2
LCM(94950,94964) = 9016831800 / 2
LCM(94950,94964) = 4508415900

Least Common Multiple (LCM) of 94950 and 94964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94950 and 94964. First we will calculate the prime factors of 94950 and 94964.

Prime Factorization of 94950

Prime Factorization of 94964

Now multiplying the highest exponent prime factors to calculate the LCM of 94950 and 94964.

LCM(94950,94964) = 2² × 3² × 5² × 211¹ × 23741¹
LCM(94950,94964) = 4508415900