What is the Least Common Multiple of 90684 and 90688?

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 90684 and 90688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90684 and 90688, than apply into the LCM equation.

GCF(90684,90688) = 4
LCM(90684,90688) = ( 90684 × 90688) / 4
LCM(90684,90688) = 8223950592 / 4
LCM(90684,90688) = 2055987648

Least Common Multiple (LCM) of 90684 and 90688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90684 and 90688. First we will calculate the prime factors of 90684 and 90688.

Prime Factorization of 90684

Prime Factorization of 90688

Now multiplying the highest exponent prime factors to calculate the LCM of 90684 and 90688.

LCM(90684,90688) = 2⁶ × 3² × 11¹ × 229¹ × 13¹ × 109¹
LCM(90684,90688) = 2055987648