What is the Least Common Multiple of 44200 and 44205?

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 44200 and 44205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44200 and 44205, than apply into the LCM equation.

GCF(44200,44205) = 5
LCM(44200,44205) = ( 44200 × 44205) / 5
LCM(44200,44205) = 1953861000 / 5
LCM(44200,44205) = 390772200

Least Common Multiple (LCM) of 44200 and 44205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44200 and 44205. First we will calculate the prime factors of 44200 and 44205.

Prime Factorization of 44200

Prime Factorization of 44205

Now multiplying the highest exponent prime factors to calculate the LCM of 44200 and 44205.

LCM(44200,44205) = 2³ × 5² × 13¹ × 17¹ × 3¹ × 7¹ × 421¹
LCM(44200,44205) = 390772200