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What is the Least Common Multiple of 43370 and 43383?

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 43370 and 43383 is 1881520710.

LCM(43370,43383) = 1881520710

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Least Common Multiple of 43370 and 43383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43370 and 43383, than apply into the LCM equation.

GCF(43370,43383) = 1
LCM(43370,43383) = ( 43370 × 43383) / 1
LCM(43370,43383) = 1881520710 / 1
LCM(43370,43383) = 1881520710

Least Common Multiple (LCM) of 43370 and 43383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43370 and 43383. First we will calculate the prime factors of 43370 and 43383.

Prime Factorization of 43370

Prime factors of 43370 are 2, 5, 4337. Prime factorization of 43370 in exponential form is:

43370 = 21 × 51 × 43371

Prime Factorization of 43383

Prime factors of 43383 are 3, 14461. Prime factorization of 43383 in exponential form is:

43383 = 31 × 144611

Now multiplying the highest exponent prime factors to calculate the LCM of 43370 and 43383.

LCM(43370,43383) = 21 × 51 × 43371 × 31 × 144611
LCM(43370,43383) = 1881520710