What is the Least Common Multiple of 94134 and 94149?

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 94134 and 94149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94134 and 94149, than apply into the LCM equation.

GCF(94134,94149) = 3
LCM(94134,94149) = ( 94134 × 94149) / 3
LCM(94134,94149) = 8862621966 / 3
LCM(94134,94149) = 2954207322

Least Common Multiple (LCM) of 94134 and 94149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94134 and 94149. First we will calculate the prime factors of 94134 and 94149.

Prime Factorization of 94134

Prime Factorization of 94149

Now multiplying the highest exponent prime factors to calculate the LCM of 94134 and 94149.

LCM(94134,94149) = 2¹ × 3³ × 29¹ × 541¹ × 11¹ × 317¹
LCM(94134,94149) = 2954207322