What is the Least Common Multiple of 76751 and 76763?

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 76751 and 76763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76751 and 76763, than apply into the LCM equation.

GCF(76751,76763) = 1
LCM(76751,76763) = ( 76751 × 76763) / 1
LCM(76751,76763) = 5891637013 / 1
LCM(76751,76763) = 5891637013

Least Common Multiple (LCM) of 76751 and 76763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76751 and 76763. First we will calculate the prime factors of 76751 and 76763.

Prime Factorization of 76751

Prime Factorization of 76763

Now multiplying the highest exponent prime factors to calculate the LCM of 76751 and 76763.

LCM(76751,76763) = 23¹ × 47¹ × 71¹ × 29¹ × 2647¹
LCM(76751,76763) = 5891637013