What is the Least Common Multiple of 94450 and 94462?

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 94450 and 94462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94450 and 94462, than apply into the LCM equation.

GCF(94450,94462) = 2
LCM(94450,94462) = ( 94450 × 94462) / 2
LCM(94450,94462) = 8921935900 / 2
LCM(94450,94462) = 4460967950

Least Common Multiple (LCM) of 94450 and 94462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94450 and 94462. First we will calculate the prime factors of 94450 and 94462.

Prime Factorization of 94450

Prime Factorization of 94462

Now multiplying the highest exponent prime factors to calculate the LCM of 94450 and 94462.

LCM(94450,94462) = 2¹ × 5² × 1889¹ × 73¹ × 647¹
LCM(94450,94462) = 4460967950