What is the Least Common Multiple of 39702 and 39707?

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 39702 and 39707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39702 and 39707, than apply into the LCM equation.

GCF(39702,39707) = 1
LCM(39702,39707) = ( 39702 × 39707) / 1
LCM(39702,39707) = 1576447314 / 1
LCM(39702,39707) = 1576447314

Least Common Multiple (LCM) of 39702 and 39707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39702 and 39707. First we will calculate the prime factors of 39702 and 39707.

Prime Factorization of 39702

Prime Factorization of 39707

Now multiplying the highest exponent prime factors to calculate the LCM of 39702 and 39707.

LCM(39702,39707) = 2¹ × 3¹ × 13¹ × 509¹ × 59¹ × 673¹
LCM(39702,39707) = 1576447314