What is the Least Common Multiple of 90965 and 90977?

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 90965 and 90977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90965 and 90977, than apply into the LCM equation.

GCF(90965,90977) = 1
LCM(90965,90977) = ( 90965 × 90977) / 1
LCM(90965,90977) = 8275722805 / 1
LCM(90965,90977) = 8275722805

Least Common Multiple (LCM) of 90965 and 90977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90965 and 90977. First we will calculate the prime factors of 90965 and 90977.

Prime Factorization of 90965

Prime Factorization of 90977

Now multiplying the highest exponent prime factors to calculate the LCM of 90965 and 90977.

LCM(90965,90977) = 5¹ × 7¹ × 23¹ × 113¹ × 90977¹
LCM(90965,90977) = 8275722805