What is the Least Common Multiple of 93056 and 93074?

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 93056 and 93074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93056 and 93074, than apply into the LCM equation.

GCF(93056,93074) = 2
LCM(93056,93074) = ( 93056 × 93074) / 2
LCM(93056,93074) = 8661094144 / 2
LCM(93056,93074) = 4330547072

Least Common Multiple (LCM) of 93056 and 93074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93056 and 93074. First we will calculate the prime factors of 93056 and 93074.

Prime Factorization of 93056

Prime Factorization of 93074

Now multiplying the highest exponent prime factors to calculate the LCM of 93056 and 93074.

LCM(93056,93074) = 2⁷ × 727¹ × 173¹ × 269¹
LCM(93056,93074) = 4330547072