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What is the Least Common Multiple of 79129 and 79143?

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 79129 and 79143 is 6262506447.

LCM(79129,79143) = 6262506447

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Least Common Multiple of 79129 and 79143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79129 and 79143, than apply into the LCM equation.

GCF(79129,79143) = 1
LCM(79129,79143) = ( 79129 × 79143) / 1
LCM(79129,79143) = 6262506447 / 1
LCM(79129,79143) = 6262506447

Least Common Multiple (LCM) of 79129 and 79143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79129 and 79143. First we will calculate the prime factors of 79129 and 79143.

Prime Factorization of 79129

Prime factors of 79129 are 53, 1493. Prime factorization of 79129 in exponential form is:

79129 = 531 × 14931

Prime Factorization of 79143

Prime factors of 79143 are 3, 23, 31, 37. Prime factorization of 79143 in exponential form is:

79143 = 31 × 231 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 79129 and 79143.

LCM(79129,79143) = 531 × 14931 × 31 × 231 × 311 × 371
LCM(79129,79143) = 6262506447