What is the Least Common Multiple of 94700 and 94714?

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 94700 and 94714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94700 and 94714, than apply into the LCM equation.

GCF(94700,94714) = 2
LCM(94700,94714) = ( 94700 × 94714) / 2
LCM(94700,94714) = 8969415800 / 2
LCM(94700,94714) = 4484707900

Least Common Multiple (LCM) of 94700 and 94714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94700 and 94714. First we will calculate the prime factors of 94700 and 94714.

Prime Factorization of 94700

Prime Factorization of 94714

Now multiplying the highest exponent prime factors to calculate the LCM of 94700 and 94714.

LCM(94700,94714) = 2² × 5² × 947¹ × 23¹ × 29¹ × 71¹
LCM(94700,94714) = 4484707900