What is the Least Common Multiple of 90688 and 90699?

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 90699 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 90699, than apply into the LCM equation.

GCF(90688,90699) = 1
LCM(90688,90699) = ( 90688 × 90699) / 1
LCM(90688,90699) = 8225310912 / 1
LCM(90688,90699) = 8225310912

Least Common Multiple (LCM) of 90688 and 90699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90688 and 90699. First we will calculate the prime factors of 90688 and 90699.

Prime Factorization of 90688

Prime Factorization of 90699

Now multiplying the highest exponent prime factors to calculate the LCM of 90688 and 90699.

LCM(90688,90699) = 2⁶ × 13¹ × 109¹ × 3¹ × 7² × 617¹
LCM(90688,90699) = 8225310912