What is the Least Common Multiple of 74020 and 74033?

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 74020 and 74033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74020 and 74033, than apply into the LCM equation.

GCF(74020,74033) = 1
LCM(74020,74033) = ( 74020 × 74033) / 1
LCM(74020,74033) = 5479922660 / 1
LCM(74020,74033) = 5479922660

Least Common Multiple (LCM) of 74020 and 74033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74020 and 74033. First we will calculate the prime factors of 74020 and 74033.

Prime Factorization of 74020

Prime Factorization of 74033

Now multiplying the highest exponent prime factors to calculate the LCM of 74020 and 74033.

LCM(74020,74033) = 2² × 5¹ × 3701¹ × 101¹ × 733¹
LCM(74020,74033) = 5479922660