What is the Least Common Multiple of 90956 and 90961?

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 90956 and 90961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90956 and 90961, than apply into the LCM equation.

GCF(90956,90961) = 1
LCM(90956,90961) = ( 90956 × 90961) / 1
LCM(90956,90961) = 8273448716 / 1
LCM(90956,90961) = 8273448716

Least Common Multiple (LCM) of 90956 and 90961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90956 and 90961. First we will calculate the prime factors of 90956 and 90961.

Prime Factorization of 90956

Prime Factorization of 90961

Now multiplying the highest exponent prime factors to calculate the LCM of 90956 and 90961.

LCM(90956,90961) = 2² × 22739¹ × 13¹ × 6997¹
LCM(90956,90961) = 8273448716