What is the Least Common Multiple of 49752 and 49761?

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 49752 and 49761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49752 and 49761, than apply into the LCM equation.

GCF(49752,49761) = 9
LCM(49752,49761) = ( 49752 × 49761) / 9
LCM(49752,49761) = 2475709272 / 9
LCM(49752,49761) = 275078808

Least Common Multiple (LCM) of 49752 and 49761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49752 and 49761. First we will calculate the prime factors of 49752 and 49761.

Prime Factorization of 49752

Prime Factorization of 49761

Now multiplying the highest exponent prime factors to calculate the LCM of 49752 and 49761.

LCM(49752,49761) = 2³ × 3³ × 691¹ × 19¹ × 97¹
LCM(49752,49761) = 275078808