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What is the Least Common Multiple of 43815 and 43831?

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 43815 and 43831 is 1920455265.

LCM(43815,43831) = 1920455265

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Least Common Multiple of 43815 and 43831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43815 and 43831, than apply into the LCM equation.

GCF(43815,43831) = 1
LCM(43815,43831) = ( 43815 × 43831) / 1
LCM(43815,43831) = 1920455265 / 1
LCM(43815,43831) = 1920455265

Least Common Multiple (LCM) of 43815 and 43831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43815 and 43831. First we will calculate the prime factors of 43815 and 43831.

Prime Factorization of 43815

Prime factors of 43815 are 3, 5, 23, 127. Prime factorization of 43815 in exponential form is:

43815 = 31 × 51 × 231 × 1271

Prime Factorization of 43831

Prime factors of 43831 are 53, 827. Prime factorization of 43831 in exponential form is:

43831 = 531 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 43815 and 43831.

LCM(43815,43831) = 31 × 51 × 231 × 1271 × 531 × 8271
LCM(43815,43831) = 1920455265