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What is the Least Common Multiple of 44026 and 44030?

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 44026 and 44030 is 969232390.

LCM(44026,44030) = 969232390

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Least Common Multiple of 44026 and 44030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44026 and 44030, than apply into the LCM equation.

GCF(44026,44030) = 2
LCM(44026,44030) = ( 44026 × 44030) / 2
LCM(44026,44030) = 1938464780 / 2
LCM(44026,44030) = 969232390

Least Common Multiple (LCM) of 44026 and 44030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44026 and 44030. First we will calculate the prime factors of 44026 and 44030.

Prime Factorization of 44026

Prime factors of 44026 are 2, 22013. Prime factorization of 44026 in exponential form is:

44026 = 21 × 220131

Prime Factorization of 44030

Prime factors of 44030 are 2, 5, 7, 17, 37. Prime factorization of 44030 in exponential form is:

44030 = 21 × 51 × 71 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 44026 and 44030.

LCM(44026,44030) = 21 × 220131 × 51 × 71 × 171 × 371
LCM(44026,44030) = 969232390