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What is the Least Common Multiple of 79122 and 79133?

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 79122 and 79133 is 6261161226.

LCM(79122,79133) = 6261161226

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Least Common Multiple of 79122 and 79133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79122 and 79133, than apply into the LCM equation.

GCF(79122,79133) = 1
LCM(79122,79133) = ( 79122 × 79133) / 1
LCM(79122,79133) = 6261161226 / 1
LCM(79122,79133) = 6261161226

Least Common Multiple (LCM) of 79122 and 79133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79122 and 79133. First we will calculate the prime factors of 79122 and 79133.

Prime Factorization of 79122

Prime factors of 79122 are 2, 3, 13187. Prime factorization of 79122 in exponential form is:

79122 = 21 × 31 × 131871

Prime Factorization of 79133

Prime factors of 79133 are 79133. Prime factorization of 79133 in exponential form is:

79133 = 791331

Now multiplying the highest exponent prime factors to calculate the LCM of 79122 and 79133.

LCM(79122,79133) = 21 × 31 × 131871 × 791331
LCM(79122,79133) = 6261161226