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What is the Least Common Multiple of 44070 and 44075?

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 44070 and 44075 is 388477050.

LCM(44070,44075) = 388477050

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Least Common Multiple of 44070 and 44075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44070 and 44075, than apply into the LCM equation.

GCF(44070,44075) = 5
LCM(44070,44075) = ( 44070 × 44075) / 5
LCM(44070,44075) = 1942385250 / 5
LCM(44070,44075) = 388477050

Least Common Multiple (LCM) of 44070 and 44075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44070 and 44075. First we will calculate the prime factors of 44070 and 44075.

Prime Factorization of 44070

Prime factors of 44070 are 2, 3, 5, 13, 113. Prime factorization of 44070 in exponential form is:

44070 = 21 × 31 × 51 × 131 × 1131

Prime Factorization of 44075

Prime factors of 44075 are 5, 41, 43. Prime factorization of 44075 in exponential form is:

44075 = 52 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 44070 and 44075.

LCM(44070,44075) = 21 × 31 × 52 × 131 × 1131 × 411 × 431
LCM(44070,44075) = 388477050