What is the Least Common Multiple of 36020 and 36033?

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 36020 and 36033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36020 and 36033, than apply into the LCM equation.

GCF(36020,36033) = 1
LCM(36020,36033) = ( 36020 × 36033) / 1
LCM(36020,36033) = 1297908660 / 1
LCM(36020,36033) = 1297908660

Least Common Multiple (LCM) of 36020 and 36033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36020 and 36033. First we will calculate the prime factors of 36020 and 36033.

Prime Factorization of 36020

Prime Factorization of 36033

Now multiplying the highest exponent prime factors to calculate the LCM of 36020 and 36033.

LCM(36020,36033) = 2² × 5¹ × 1801¹ × 3¹ × 12011¹
LCM(36020,36033) = 1297908660