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What is the Least Common Multiple of 44207 and 44225?

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 44207 and 44225 is 1955054575.

LCM(44207,44225) = 1955054575

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Least Common Multiple of 44207 and 44225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44207 and 44225, than apply into the LCM equation.

GCF(44207,44225) = 1
LCM(44207,44225) = ( 44207 × 44225) / 1
LCM(44207,44225) = 1955054575 / 1
LCM(44207,44225) = 1955054575

Least Common Multiple (LCM) of 44207 and 44225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44207 and 44225. First we will calculate the prime factors of 44207 and 44225.

Prime Factorization of 44207

Prime factors of 44207 are 44207. Prime factorization of 44207 in exponential form is:

44207 = 442071

Prime Factorization of 44225

Prime factors of 44225 are 5, 29, 61. Prime factorization of 44225 in exponential form is:

44225 = 52 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 44207 and 44225.

LCM(44207,44225) = 442071 × 52 × 291 × 611
LCM(44207,44225) = 1955054575