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What is the Least Common Multiple of 43015 and 43026?

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 43015 and 43026 is 1850763390.

LCM(43015,43026) = 1850763390

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Least Common Multiple of 43015 and 43026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43015 and 43026, than apply into the LCM equation.

GCF(43015,43026) = 1
LCM(43015,43026) = ( 43015 × 43026) / 1
LCM(43015,43026) = 1850763390 / 1
LCM(43015,43026) = 1850763390

Least Common Multiple (LCM) of 43015 and 43026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43015 and 43026. First we will calculate the prime factors of 43015 and 43026.

Prime Factorization of 43015

Prime factors of 43015 are 5, 7, 1229. Prime factorization of 43015 in exponential form is:

43015 = 51 × 71 × 12291

Prime Factorization of 43026

Prime factors of 43026 are 2, 3, 71, 101. Prime factorization of 43026 in exponential form is:

43026 = 21 × 31 × 711 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 43015 and 43026.

LCM(43015,43026) = 51 × 71 × 12291 × 21 × 31 × 711 × 1011
LCM(43015,43026) = 1850763390