What is the Least Common Multiple of 90656 and 90671?

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 90656 and 90671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90656 and 90671, than apply into the LCM equation.

GCF(90656,90671) = 1
LCM(90656,90671) = ( 90656 × 90671) / 1
LCM(90656,90671) = 8219870176 / 1
LCM(90656,90671) = 8219870176

Least Common Multiple (LCM) of 90656 and 90671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90656 and 90671. First we will calculate the prime factors of 90656 and 90671.

Prime Factorization of 90656

Prime Factorization of 90671

Now multiplying the highest exponent prime factors to calculate the LCM of 90656 and 90671.

LCM(90656,90671) = 2⁵ × 2833¹ × 7¹ × 12953¹
LCM(90656,90671) = 8219870176