What is the Least Common Multiple of 40702 and 40714?

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 40702 and 40714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40702 and 40714, than apply into the LCM equation.

GCF(40702,40714) = 2
LCM(40702,40714) = ( 40702 × 40714) / 2
LCM(40702,40714) = 1657141228 / 2
LCM(40702,40714) = 828570614

Least Common Multiple (LCM) of 40702 and 40714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40702 and 40714. First we will calculate the prime factors of 40702 and 40714.

Prime Factorization of 40702

Prime Factorization of 40714

Now multiplying the highest exponent prime factors to calculate the LCM of 40702 and 40714.

LCM(40702,40714) = 2¹ × 47¹ × 433¹ × 20357¹
LCM(40702,40714) = 828570614