What is the Least Common Multiple of 40740 and 40749?

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 40749 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 40749, than apply into the LCM equation.

GCF(40740,40749) = 3
LCM(40740,40749) = ( 40740 × 40749) / 3
LCM(40740,40749) = 1660114260 / 3
LCM(40740,40749) = 553371420

Least Common Multiple (LCM) of 40740 and 40749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40740 and 40749. First we will calculate the prime factors of 40740 and 40749.

Prime Factorization of 40740

Prime Factorization of 40749

Now multiplying the highest exponent prime factors to calculate the LCM of 40740 and 40749.

LCM(40740,40749) = 2² × 3¹ × 5¹ × 7¹ × 97¹ × 17² × 47¹
LCM(40740,40749) = 553371420