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What is the Least Common Multiple of 79066 and 79083?

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 79066 and 79083 is 6252776478.

LCM(79066,79083) = 6252776478

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Least Common Multiple of 79066 and 79083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79066 and 79083, than apply into the LCM equation.

GCF(79066,79083) = 1
LCM(79066,79083) = ( 79066 × 79083) / 1
LCM(79066,79083) = 6252776478 / 1
LCM(79066,79083) = 6252776478

Least Common Multiple (LCM) of 79066 and 79083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79066 and 79083. First we will calculate the prime factors of 79066 and 79083.

Prime Factorization of 79066

Prime factors of 79066 are 2, 13, 3041. Prime factorization of 79066 in exponential form is:

79066 = 21 × 131 × 30411

Prime Factorization of 79083

Prime factors of 79083 are 3, 29, 101. Prime factorization of 79083 in exponential form is:

79083 = 33 × 291 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 79066 and 79083.

LCM(79066,79083) = 21 × 131 × 30411 × 33 × 291 × 1011
LCM(79066,79083) = 6252776478