What is the Least Common Multiple of 40524 and 40544?

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 40524 and 40544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40524 and 40544, than apply into the LCM equation.

GCF(40524,40544) = 4
LCM(40524,40544) = ( 40524 × 40544) / 4
LCM(40524,40544) = 1643005056 / 4
LCM(40524,40544) = 410751264

Least Common Multiple (LCM) of 40524 and 40544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40524 and 40544. First we will calculate the prime factors of 40524 and 40544.

Prime Factorization of 40524

Prime Factorization of 40544

Now multiplying the highest exponent prime factors to calculate the LCM of 40524 and 40544.

LCM(40524,40544) = 2⁵ × 3¹ × 11¹ × 307¹ × 7¹ × 181¹
LCM(40524,40544) = 410751264