What is the Least Common Multiple of 93642 and 93656?

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 93642 and 93656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93642 and 93656, than apply into the LCM equation.

GCF(93642,93656) = 2
LCM(93642,93656) = ( 93642 × 93656) / 2
LCM(93642,93656) = 8770135152 / 2
LCM(93642,93656) = 4385067576

Least Common Multiple (LCM) of 93642 and 93656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93642 and 93656. First we will calculate the prime factors of 93642 and 93656.

Prime Factorization of 93642

Prime Factorization of 93656

Now multiplying the highest exponent prime factors to calculate the LCM of 93642 and 93656.

LCM(93642,93656) = 2³ × 3¹ × 15607¹ × 23¹ × 509¹
LCM(93642,93656) = 4385067576