What is the Least Common Multiple of 90688 and 90702?

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 90688 and 90702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90688 and 90702, than apply into the LCM equation.

GCF(90688,90702) = 2
LCM(90688,90702) = ( 90688 × 90702) / 2
LCM(90688,90702) = 8225582976 / 2
LCM(90688,90702) = 4112791488

Least Common Multiple (LCM) of 90688 and 90702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90688 and 90702. First we will calculate the prime factors of 90688 and 90702.

Prime Factorization of 90688

Prime Factorization of 90702

Now multiplying the highest exponent prime factors to calculate the LCM of 90688 and 90702.

LCM(90688,90702) = 2⁶ × 13¹ × 109¹ × 3² × 5039¹
LCM(90688,90702) = 4112791488