What is the Least Common Multiple of 39742 and 39759?

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 39742 and 39759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39742 and 39759, than apply into the LCM equation.

GCF(39742,39759) = 1
LCM(39742,39759) = ( 39742 × 39759) / 1
LCM(39742,39759) = 1580102178 / 1
LCM(39742,39759) = 1580102178

Least Common Multiple (LCM) of 39742 and 39759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39742 and 39759. First we will calculate the prime factors of 39742 and 39759.

Prime Factorization of 39742

Prime Factorization of 39759

Now multiplying the highest exponent prime factors to calculate the LCM of 39742 and 39759.

LCM(39742,39759) = 2¹ × 31¹ × 641¹ × 3¹ × 29¹ × 457¹
LCM(39742,39759) = 1580102178