What is the Least Common Multiple of 94368 and 94374?

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 94368 and 94374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94368 and 94374, than apply into the LCM equation.

GCF(94368,94374) = 6
LCM(94368,94374) = ( 94368 × 94374) / 6
LCM(94368,94374) = 8905885632 / 6
LCM(94368,94374) = 1484314272

Least Common Multiple (LCM) of 94368 and 94374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94368 and 94374. First we will calculate the prime factors of 94368 and 94374.

Prime Factorization of 94368

Prime Factorization of 94374

Now multiplying the highest exponent prime factors to calculate the LCM of 94368 and 94374.

LCM(94368,94374) = 2⁵ × 3² × 983¹ × 7² × 107¹
LCM(94368,94374) = 1484314272