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What is the Least Common Multiple of 79046 and 79066?

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 79046 and 79066 is 3124925518.

LCM(79046,79066) = 3124925518

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Least Common Multiple of 79046 and 79066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79046 and 79066, than apply into the LCM equation.

GCF(79046,79066) = 2
LCM(79046,79066) = ( 79046 × 79066) / 2
LCM(79046,79066) = 6249851036 / 2
LCM(79046,79066) = 3124925518

Least Common Multiple (LCM) of 79046 and 79066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79046 and 79066. First we will calculate the prime factors of 79046 and 79066.

Prime Factorization of 79046

Prime factors of 79046 are 2, 11, 3593. Prime factorization of 79046 in exponential form is:

79046 = 21 × 111 × 35931

Prime Factorization of 79066

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

79066 = 21 × 131 × 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 79046 and 79066.

LCM(79046,79066) = 21 × 111 × 35931 × 131 × 30411
LCM(79046,79066) = 3124925518