What is the Least Common Multiple of 94242 and 94251?

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 94242 and 94251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94242 and 94251, than apply into the LCM equation.

GCF(94242,94251) = 3
LCM(94242,94251) = ( 94242 × 94251) / 3
LCM(94242,94251) = 8882402742 / 3
LCM(94242,94251) = 2960800914

Least Common Multiple (LCM) of 94242 and 94251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94242 and 94251. First we will calculate the prime factors of 94242 and 94251.

Prime Factorization of 94242

Prime Factorization of 94251

Now multiplying the highest exponent prime factors to calculate the LCM of 94242 and 94251.

LCM(94242,94251) = 2¹ × 3¹ × 113¹ × 139¹ × 89¹ × 353¹
LCM(94242,94251) = 2960800914