What is the Least Common Multiple of 40740 and 40757?

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 40740 and 40757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40740 and 40757, than apply into the LCM equation.

GCF(40740,40757) = 1
LCM(40740,40757) = ( 40740 × 40757) / 1
LCM(40740,40757) = 1660440180 / 1
LCM(40740,40757) = 1660440180

Least Common Multiple (LCM) of 40740 and 40757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40740 and 40757. First we will calculate the prime factors of 40740 and 40757.

Prime Factorization of 40740

Prime Factorization of 40757

Now multiplying the highest exponent prime factors to calculate the LCM of 40740 and 40757.

LCM(40740,40757) = 2² × 3¹ × 5¹ × 7¹ × 97¹ × 53¹ × 769¹
LCM(40740,40757) = 1660440180