What is the Least Common Multiple of 90945 and 90964?

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 90945 and 90964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90945 and 90964, than apply into the LCM equation.

GCF(90945,90964) = 1
LCM(90945,90964) = ( 90945 × 90964) / 1
LCM(90945,90964) = 8272720980 / 1
LCM(90945,90964) = 8272720980

Least Common Multiple (LCM) of 90945 and 90964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90945 and 90964. First we will calculate the prime factors of 90945 and 90964.

Prime Factorization of 90945

Prime Factorization of 90964

Now multiplying the highest exponent prime factors to calculate the LCM of 90945 and 90964.

LCM(90945,90964) = 3² × 5¹ × 43¹ × 47¹ × 2² × 22741¹
LCM(90945,90964) = 8272720980