What is the Least Common Multiple of 76714 and 76734?

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 76714 and 76734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76714 and 76734, than apply into the LCM equation.

GCF(76714,76734) = 2
LCM(76714,76734) = ( 76714 × 76734) / 2
LCM(76714,76734) = 5886572076 / 2
LCM(76714,76734) = 2943286038

Least Common Multiple (LCM) of 76714 and 76734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76714 and 76734. First we will calculate the prime factors of 76714 and 76734.

Prime Factorization of 76714

Prime Factorization of 76734

Now multiplying the highest exponent prime factors to calculate the LCM of 76714 and 76734.

LCM(76714,76734) = 2¹ × 11² × 317¹ × 3³ × 7² × 29¹
LCM(76714,76734) = 2943286038