What is the Least Common Multiple of 50925 and 50944?

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 50925 and 50944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50925 and 50944, than apply into the LCM equation.

GCF(50925,50944) = 1
LCM(50925,50944) = ( 50925 × 50944) / 1
LCM(50925,50944) = 2594323200 / 1
LCM(50925,50944) = 2594323200

Least Common Multiple (LCM) of 50925 and 50944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50925 and 50944. First we will calculate the prime factors of 50925 and 50944.

Prime Factorization of 50925

Prime Factorization of 50944

Now multiplying the highest exponent prime factors to calculate the LCM of 50925 and 50944.

LCM(50925,50944) = 3¹ × 5² × 7¹ × 97¹ × 2⁸ × 199¹
LCM(50925,50944) = 2594323200