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What is the Least Common Multiple of 44042 and 44053?

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 44042 and 44053 is 1940182226.

LCM(44042,44053) = 1940182226

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Least Common Multiple of 44042 and 44053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44042 and 44053, than apply into the LCM equation.

GCF(44042,44053) = 1
LCM(44042,44053) = ( 44042 × 44053) / 1
LCM(44042,44053) = 1940182226 / 1
LCM(44042,44053) = 1940182226

Least Common Multiple (LCM) of 44042 and 44053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44042 and 44053. First we will calculate the prime factors of 44042 and 44053.

Prime Factorization of 44042

Prime factors of 44042 are 2, 19, 61. Prime factorization of 44042 in exponential form is:

44042 = 21 × 192 × 611

Prime Factorization of 44053

Prime factors of 44053 are 44053. Prime factorization of 44053 in exponential form is:

44053 = 440531

Now multiplying the highest exponent prime factors to calculate the LCM of 44042 and 44053.

LCM(44042,44053) = 21 × 192 × 611 × 440531
LCM(44042,44053) = 1940182226