What is the Least Common Multiple of 90944 and 90958?

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 90944 and 90958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90944 and 90958, than apply into the LCM equation.

GCF(90944,90958) = 14
LCM(90944,90958) = ( 90944 × 90958) / 14
LCM(90944,90958) = 8272084352 / 14
LCM(90944,90958) = 590863168

Least Common Multiple (LCM) of 90944 and 90958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90944 and 90958. First we will calculate the prime factors of 90944 and 90958.

Prime Factorization of 90944

Prime Factorization of 90958

Now multiplying the highest exponent prime factors to calculate the LCM of 90944 and 90958.

LCM(90944,90958) = 2⁶ × 7² × 29¹ × 73¹ × 89¹
LCM(90944,90958) = 590863168