What is the Least Common Multiple of 40824 and 40830?

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 40824 and 40830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40824 and 40830, than apply into the LCM equation.

GCF(40824,40830) = 6
LCM(40824,40830) = ( 40824 × 40830) / 6
LCM(40824,40830) = 1666843920 / 6
LCM(40824,40830) = 277807320

Least Common Multiple (LCM) of 40824 and 40830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40824 and 40830. First we will calculate the prime factors of 40824 and 40830.

Prime Factorization of 40824

Prime Factorization of 40830

Now multiplying the highest exponent prime factors to calculate the LCM of 40824 and 40830.

LCM(40824,40830) = 2³ × 3⁶ × 7¹ × 5¹ × 1361¹
LCM(40824,40830) = 277807320