What is the Least Common Multiple of 40820 and 40833?

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 40820 and 40833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40820 and 40833, than apply into the LCM equation.

GCF(40820,40833) = 13
LCM(40820,40833) = ( 40820 × 40833) / 13
LCM(40820,40833) = 1666803060 / 13
LCM(40820,40833) = 128215620

Least Common Multiple (LCM) of 40820 and 40833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40820 and 40833. First we will calculate the prime factors of 40820 and 40833.

Prime Factorization of 40820

Prime Factorization of 40833

Now multiplying the highest exponent prime factors to calculate the LCM of 40820 and 40833.

LCM(40820,40833) = 2² × 5¹ × 13¹ × 157¹ × 3² × 349¹
LCM(40820,40833) = 128215620