What is the Least Common Multiple of 74200 and 74205?

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 74200 and 74205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74200 and 74205, than apply into the LCM equation.

GCF(74200,74205) = 5
LCM(74200,74205) = ( 74200 × 74205) / 5
LCM(74200,74205) = 5506011000 / 5
LCM(74200,74205) = 1101202200

Least Common Multiple (LCM) of 74200 and 74205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74200 and 74205. First we will calculate the prime factors of 74200 and 74205.

Prime Factorization of 74200

Prime Factorization of 74205

Now multiplying the highest exponent prime factors to calculate the LCM of 74200 and 74205.

LCM(74200,74205) = 2³ × 5² × 7¹ × 53¹ × 3² × 17¹ × 97¹
LCM(74200,74205) = 1101202200