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What is the Least Common Multiple of 44407 and 44427?

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 44407 and 44427 is 1972869789.

LCM(44407,44427) = 1972869789

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Least Common Multiple of 44407 and 44427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44407 and 44427, than apply into the LCM equation.

GCF(44407,44427) = 1
LCM(44407,44427) = ( 44407 × 44427) / 1
LCM(44407,44427) = 1972869789 / 1
LCM(44407,44427) = 1972869789

Least Common Multiple (LCM) of 44407 and 44427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44407 and 44427. First we will calculate the prime factors of 44407 and 44427.

Prime Factorization of 44407

Prime factors of 44407 are 11, 367. Prime factorization of 44407 in exponential form is:

44407 = 112 × 3671

Prime Factorization of 44427

Prime factors of 44427 are 3, 59, 251. Prime factorization of 44427 in exponential form is:

44427 = 31 × 591 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 44407 and 44427.

LCM(44407,44427) = 112 × 3671 × 31 × 591 × 2511
LCM(44407,44427) = 1972869789