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What is the Least Common Multiple of 22025 and 22030?

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 (LCM) of 22025 and 22030 is 97042150.

LCM(22025,22030) = 97042150

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Least Common Multiple of 22025 and 22030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22025 and 22030, than apply into the LCM equation.

GCF(22025,22030) = 5
LCM(22025,22030) = ( 22025 × 22030) / 5
LCM(22025,22030) = 485210750 / 5
LCM(22025,22030) = 97042150

Least Common Multiple (LCM) of 22025 and 22030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22025 and 22030. First we will calculate the prime factors of 22025 and 22030.

Prime Factorization of 22025

Prime factors of 22025 are 5, 881. Prime factorization of 22025 in exponential form is:

22025 = 52 × 8811

Prime Factorization of 22030

Prime factors of 22030 are 2, 5, 2203. Prime factorization of 22030 in exponential form is:

22030 = 21 × 51 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 22025 and 22030.

LCM(22025,22030) = 52 × 8811 × 21 × 22031
LCM(22025,22030) = 97042150