What is the Least Common Multiple of 90642 and 90656?

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 90642 and 90656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90642 and 90656, than apply into the LCM equation.

GCF(90642,90656) = 2
LCM(90642,90656) = ( 90642 × 90656) / 2
LCM(90642,90656) = 8217241152 / 2
LCM(90642,90656) = 4108620576

Least Common Multiple (LCM) of 90642 and 90656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90642 and 90656. First we will calculate the prime factors of 90642 and 90656.

Prime Factorization of 90642

Prime Factorization of 90656

Now multiplying the highest exponent prime factors to calculate the LCM of 90642 and 90656.

LCM(90642,90656) = 2⁵ × 3¹ × 15107¹ × 2833¹
LCM(90642,90656) = 4108620576