What is the Least Common Multiple of 93989 and 94000?

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 93989 and 94000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93989 and 94000, than apply into the LCM equation.

GCF(93989,94000) = 1
LCM(93989,94000) = ( 93989 × 94000) / 1
LCM(93989,94000) = 8834966000 / 1
LCM(93989,94000) = 8834966000

Least Common Multiple (LCM) of 93989 and 94000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93989 and 94000. First we will calculate the prime factors of 93989 and 94000.

Prime Factorization of 93989

Prime Factorization of 94000

Now multiplying the highest exponent prime factors to calculate the LCM of 93989 and 94000.

LCM(93989,94000) = 7¹ × 29¹ × 463¹ × 2⁴ × 5³ × 47¹
LCM(93989,94000) = 8834966000