What is the Least Common Multiple of 61752 and 61757?

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 61757 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 61757, than apply into the LCM equation.

GCF(61752,61757) = 1
LCM(61752,61757) = ( 61752 × 61757) / 1
LCM(61752,61757) = 3813618264 / 1
LCM(61752,61757) = 3813618264

Least Common Multiple (LCM) of 61752 and 61757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61752 and 61757. First we will calculate the prime factors of 61752 and 61757.

Prime Factorization of 61752

Prime Factorization of 61757

Now multiplying the highest exponent prime factors to calculate the LCM of 61752 and 61757.

LCM(61752,61757) = 2³ × 3¹ × 31¹ × 83¹ × 61757¹
LCM(61752,61757) = 3813618264