What is the Least Common Multiple of 90686 and 90692?

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 90686 and 90692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90686 and 90692, than apply into the LCM equation.

GCF(90686,90692) = 2
LCM(90686,90692) = ( 90686 × 90692) / 2
LCM(90686,90692) = 8224494712 / 2
LCM(90686,90692) = 4112247356

Least Common Multiple (LCM) of 90686 and 90692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90686 and 90692. First we will calculate the prime factors of 90686 and 90692.

Prime Factorization of 90686

Prime Factorization of 90692

Now multiplying the highest exponent prime factors to calculate the LCM of 90686 and 90692.

LCM(90686,90692) = 2² × 45343¹ × 7¹ × 41¹ × 79¹
LCM(90686,90692) = 4112247356