What is the Least Common Multiple of 49746 and 49752?

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 49746 and 49752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49746 and 49752, than apply into the LCM equation.

GCF(49746,49752) = 6
LCM(49746,49752) = ( 49746 × 49752) / 6
LCM(49746,49752) = 2474962992 / 6
LCM(49746,49752) = 412493832

Least Common Multiple (LCM) of 49746 and 49752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49746 and 49752. First we will calculate the prime factors of 49746 and 49752.

Prime Factorization of 49746

Prime Factorization of 49752

Now multiplying the highest exponent prime factors to calculate the LCM of 49746 and 49752.

LCM(49746,49752) = 2³ × 3² × 8291¹ × 691¹
LCM(49746,49752) = 412493832