What is the Least Common Multiple of 51759 and 51763?

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 51759 and 51763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51759 and 51763, than apply into the LCM equation.

GCF(51759,51763) = 1
LCM(51759,51763) = ( 51759 × 51763) / 1
LCM(51759,51763) = 2679201117 / 1
LCM(51759,51763) = 2679201117

Least Common Multiple (LCM) of 51759 and 51763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51759 and 51763. First we will calculate the prime factors of 51759 and 51763.

Prime Factorization of 51759

Prime Factorization of 51763

Now multiplying the highest exponent prime factors to calculate the LCM of 51759 and 51763.

LCM(51759,51763) = 3⁶ × 71¹ × 37¹ × 1399¹
LCM(51759,51763) = 2679201117