What is the Least Common Multiple of 76734 and 76749?

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 76734 and 76749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76734 and 76749, than apply into the LCM equation.

GCF(76734,76749) = 3
LCM(76734,76749) = ( 76734 × 76749) / 3
LCM(76734,76749) = 5889257766 / 3
LCM(76734,76749) = 1963085922

Least Common Multiple (LCM) of 76734 and 76749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76734 and 76749. First we will calculate the prime factors of 76734 and 76749.

Prime Factorization of 76734

Prime Factorization of 76749

Now multiplying the highest exponent prime factors to calculate the LCM of 76734 and 76749.

LCM(76734,76749) = 2¹ × 3³ × 7² × 29¹ × 25583¹
LCM(76734,76749) = 1963085922