What is the Least Common Multiple of 22040 and 22045?

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 22040 and 22045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22040 and 22045, than apply into the LCM equation.

GCF(22040,22045) = 5
LCM(22040,22045) = ( 22040 × 22045) / 5
LCM(22040,22045) = 485871800 / 5
LCM(22040,22045) = 97174360

Least Common Multiple (LCM) of 22040 and 22045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22040 and 22045. First we will calculate the prime factors of 22040 and 22045.

Prime Factorization of 22040

Prime Factorization of 22045

Now multiplying the highest exponent prime factors to calculate the LCM of 22040 and 22045.

LCM(22040,22045) = 2³ × 5¹ × 19¹ × 29¹ × 4409¹
LCM(22040,22045) = 97174360