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What is the Least Common Multiple of 79042 and 79055?

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 79042 and 79055 is 6248665310.

LCM(79042,79055) = 6248665310

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Least Common Multiple of 79042 and 79055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79042 and 79055, than apply into the LCM equation.

GCF(79042,79055) = 1
LCM(79042,79055) = ( 79042 × 79055) / 1
LCM(79042,79055) = 6248665310 / 1
LCM(79042,79055) = 6248665310

Least Common Multiple (LCM) of 79042 and 79055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79042 and 79055. First we will calculate the prime factors of 79042 and 79055.

Prime Factorization of 79042

Prime factors of 79042 are 2, 39521. Prime factorization of 79042 in exponential form is:

79042 = 21 × 395211

Prime Factorization of 79055

Prime factors of 79055 are 5, 97, 163. Prime factorization of 79055 in exponential form is:

79055 = 51 × 971 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 79042 and 79055.

LCM(79042,79055) = 21 × 395211 × 51 × 971 × 1631
LCM(79042,79055) = 6248665310