What is the Least Common Multiple of 40742 and 40755?

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 40755 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 40755, than apply into the LCM equation.

GCF(40742,40755) = 13
LCM(40742,40755) = ( 40742 × 40755) / 13
LCM(40742,40755) = 1660440210 / 13
LCM(40742,40755) = 127726170

Least Common Multiple (LCM) of 40742 and 40755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40742 and 40755. First we will calculate the prime factors of 40742 and 40755.

Prime Factorization of 40742

Prime Factorization of 40755

Now multiplying the highest exponent prime factors to calculate the LCM of 40742 and 40755.

LCM(40742,40755) = 2¹ × 13¹ × 1567¹ × 3¹ × 5¹ × 11¹ × 19¹
LCM(40742,40755) = 127726170