What is the Least Common Multiple of 49959 and 49972?

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 49959 and 49972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49959 and 49972, than apply into the LCM equation.

GCF(49959,49972) = 13
LCM(49959,49972) = ( 49959 × 49972) / 13
LCM(49959,49972) = 2496551148 / 13
LCM(49959,49972) = 192042396

Least Common Multiple (LCM) of 49959 and 49972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49959 and 49972. First we will calculate the prime factors of 49959 and 49972.

Prime Factorization of 49959

Prime Factorization of 49972

Now multiplying the highest exponent prime factors to calculate the LCM of 49959 and 49972.

LCM(49959,49972) = 3² × 7¹ × 13¹ × 61¹ × 2² × 31²
LCM(49959,49972) = 192042396