What is the Least Common Multiple of 43742 and 43746?

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 43742 and 43746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43742 and 43746, than apply into the LCM equation.

GCF(43742,43746) = 2
LCM(43742,43746) = ( 43742 × 43746) / 2
LCM(43742,43746) = 1913537532 / 2
LCM(43742,43746) = 956768766

Least Common Multiple (LCM) of 43742 and 43746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43742 and 43746. First we will calculate the prime factors of 43742 and 43746.

Prime Factorization of 43742

Prime Factorization of 43746

Now multiplying the highest exponent prime factors to calculate the LCM of 43742 and 43746.

LCM(43742,43746) = 2¹ × 21871¹ × 3¹ × 23¹ × 317¹
LCM(43742,43746) = 956768766