What is the Least Common Multiple of 61752 and 61761?

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 61752 and 61761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61752 and 61761, than apply into the LCM equation.

GCF(61752,61761) = 3
LCM(61752,61761) = ( 61752 × 61761) / 3
LCM(61752,61761) = 3813865272 / 3
LCM(61752,61761) = 1271288424

Least Common Multiple (LCM) of 61752 and 61761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61752 and 61761. First we will calculate the prime factors of 61752 and 61761.

Prime Factorization of 61752

Prime Factorization of 61761

Now multiplying the highest exponent prime factors to calculate the LCM of 61752 and 61761.

LCM(61752,61761) = 2³ × 3¹ × 31¹ × 83¹ × 7¹ × 17¹ × 173¹
LCM(61752,61761) = 1271288424