What is the Least Common Multiple of 93702 and 93714?

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 93702 and 93714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93702 and 93714, than apply into the LCM equation.

GCF(93702,93714) = 6
LCM(93702,93714) = ( 93702 × 93714) / 6
LCM(93702,93714) = 8781189228 / 6
LCM(93702,93714) = 1463531538

Least Common Multiple (LCM) of 93702 and 93714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93702 and 93714. First we will calculate the prime factors of 93702 and 93714.

Prime Factorization of 93702

Prime Factorization of 93714

Now multiplying the highest exponent prime factors to calculate the LCM of 93702 and 93714.

LCM(93702,93714) = 2¹ × 3¹ × 7¹ × 23¹ × 97¹ × 15619¹
LCM(93702,93714) = 1463531538