What is the Least Common Multiple of 40742 and 40753?

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 40742 and 40753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40742 and 40753, than apply into the LCM equation.

GCF(40742,40753) = 1
LCM(40742,40753) = ( 40742 × 40753) / 1
LCM(40742,40753) = 1660358726 / 1
LCM(40742,40753) = 1660358726

Least Common Multiple (LCM) of 40742 and 40753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40742 and 40753. First we will calculate the prime factors of 40742 and 40753.

Prime Factorization of 40742

Prime Factorization of 40753

Now multiplying the highest exponent prime factors to calculate the LCM of 40742 and 40753.

LCM(40742,40753) = 2¹ × 13¹ × 1567¹ × 83¹ × 491¹
LCM(40742,40753) = 1660358726