What is the Least Common Multiple of 40714 and 40734?

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 40714 and 40734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40714 and 40734, than apply into the LCM equation.

GCF(40714,40734) = 2
LCM(40714,40734) = ( 40714 × 40734) / 2
LCM(40714,40734) = 1658444076 / 2
LCM(40714,40734) = 829222038

Least Common Multiple (LCM) of 40714 and 40734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40714 and 40734. First we will calculate the prime factors of 40714 and 40734.

Prime Factorization of 40714

Prime Factorization of 40734

Now multiplying the highest exponent prime factors to calculate the LCM of 40714 and 40734.

LCM(40714,40734) = 2¹ × 20357¹ × 3² × 31¹ × 73¹
LCM(40714,40734) = 829222038