What is the Least Common Multiple of 49944 and 49960?

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 49944 and 49960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49944 and 49960, than apply into the LCM equation.

GCF(49944,49960) = 8
LCM(49944,49960) = ( 49944 × 49960) / 8
LCM(49944,49960) = 2495202240 / 8
LCM(49944,49960) = 311900280

Least Common Multiple (LCM) of 49944 and 49960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49944 and 49960. First we will calculate the prime factors of 49944 and 49960.

Prime Factorization of 49944

Prime Factorization of 49960

Now multiplying the highest exponent prime factors to calculate the LCM of 49944 and 49960.

LCM(49944,49960) = 2³ × 3¹ × 2081¹ × 5¹ × 1249¹
LCM(49944,49960) = 311900280