What is the Least Common Multiple of 90649 and 90659?

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 90649 and 90659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90649 and 90659, than apply into the LCM equation.

GCF(90649,90659) = 1
LCM(90649,90659) = ( 90649 × 90659) / 1
LCM(90649,90659) = 8218147691 / 1
LCM(90649,90659) = 8218147691

Least Common Multiple (LCM) of 90649 and 90659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90649 and 90659. First we will calculate the prime factors of 90649 and 90659.

Prime Factorization of 90649

Prime Factorization of 90659

Now multiplying the highest exponent prime factors to calculate the LCM of 90649 and 90659.

LCM(90649,90659) = 13¹ × 19¹ × 367¹ × 90659¹
LCM(90649,90659) = 8218147691