What is the Least Common Multiple of 89944 and 89951?

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 89944 and 89951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89944 and 89951, than apply into the LCM equation.

GCF(89944,89951) = 1
LCM(89944,89951) = ( 89944 × 89951) / 1
LCM(89944,89951) = 8090552744 / 1
LCM(89944,89951) = 8090552744

Least Common Multiple (LCM) of 89944 and 89951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89944 and 89951. First we will calculate the prime factors of 89944 and 89951.

Prime Factorization of 89944

Prime Factorization of 89951

Now multiplying the highest exponent prime factors to calculate the LCM of 89944 and 89951.

LCM(89944,89951) = 2³ × 11243¹ × 293¹ × 307¹
LCM(89944,89951) = 8090552744