What is the Least Common Multiple of 76731 and 76751?

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 76731 and 76751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76731 and 76751, than apply into the LCM equation.

GCF(76731,76751) = 1
LCM(76731,76751) = ( 76731 × 76751) / 1
LCM(76731,76751) = 5889180981 / 1
LCM(76731,76751) = 5889180981

Least Common Multiple (LCM) of 76731 and 76751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76731 and 76751. First we will calculate the prime factors of 76731 and 76751.

Prime Factorization of 76731

Prime Factorization of 76751

Now multiplying the highest exponent prime factors to calculate the LCM of 76731 and 76751.

LCM(76731,76751) = 3¹ × 25577¹ × 23¹ × 47¹ × 71¹
LCM(76731,76751) = 5889180981