What is the Least Common Multiple of 90930 and 90944?

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 90930 and 90944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90930 and 90944, than apply into the LCM equation.

GCF(90930,90944) = 14
LCM(90930,90944) = ( 90930 × 90944) / 14
LCM(90930,90944) = 8269537920 / 14
LCM(90930,90944) = 590681280

Least Common Multiple (LCM) of 90930 and 90944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90930 and 90944. First we will calculate the prime factors of 90930 and 90944.

Prime Factorization of 90930

Prime Factorization of 90944

Now multiplying the highest exponent prime factors to calculate the LCM of 90930 and 90944.

LCM(90930,90944) = 2⁶ × 3¹ × 5¹ × 7² × 433¹ × 29¹
LCM(90930,90944) = 590681280