What is the Least Common Multiple of 59682 and 59702?

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 59682 and 59702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59682 and 59702, than apply into the LCM equation.

GCF(59682,59702) = 2
LCM(59682,59702) = ( 59682 × 59702) / 2
LCM(59682,59702) = 3563134764 / 2
LCM(59682,59702) = 1781567382

Least Common Multiple (LCM) of 59682 and 59702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59682 and 59702. First we will calculate the prime factors of 59682 and 59702.

Prime Factorization of 59682

Prime Factorization of 59702

Now multiplying the highest exponent prime factors to calculate the LCM of 59682 and 59702.

LCM(59682,59702) = 2¹ × 3¹ × 7³ × 29¹ × 29851¹
LCM(59682,59702) = 1781567382