What is the Least Common Multiple of 90670 and 90689?

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 90670 and 90689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90670 and 90689, than apply into the LCM equation.

GCF(90670,90689) = 1
LCM(90670,90689) = ( 90670 × 90689) / 1
LCM(90670,90689) = 8222771630 / 1
LCM(90670,90689) = 8222771630

Least Common Multiple (LCM) of 90670 and 90689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90670 and 90689. First we will calculate the prime factors of 90670 and 90689.

Prime Factorization of 90670

Prime Factorization of 90689

Now multiplying the highest exponent prime factors to calculate the LCM of 90670 and 90689.

LCM(90670,90689) = 2¹ × 5¹ × 9067¹ × 23¹ × 3943¹
LCM(90670,90689) = 8222771630