What is the Least Common Multiple of 90712 and 90730?

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 90712 and 90730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90712 and 90730, than apply into the LCM equation.

GCF(90712,90730) = 2
LCM(90712,90730) = ( 90712 × 90730) / 2
LCM(90712,90730) = 8230299760 / 2
LCM(90712,90730) = 4115149880

Least Common Multiple (LCM) of 90712 and 90730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90712 and 90730. First we will calculate the prime factors of 90712 and 90730.

Prime Factorization of 90712

Prime Factorization of 90730

Now multiplying the highest exponent prime factors to calculate the LCM of 90712 and 90730.

LCM(90712,90730) = 2³ × 17¹ × 23¹ × 29¹ × 5¹ × 43¹ × 211¹
LCM(90712,90730) = 4115149880