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What is the Least Common Multiple of 79051 and 79062?

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 79051 and 79062 is 6249930162.

LCM(79051,79062) = 6249930162

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Least Common Multiple of 79051 and 79062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79051 and 79062, than apply into the LCM equation.

GCF(79051,79062) = 1
LCM(79051,79062) = ( 79051 × 79062) / 1
LCM(79051,79062) = 6249930162 / 1
LCM(79051,79062) = 6249930162

Least Common Multiple (LCM) of 79051 and 79062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79051 and 79062. First we will calculate the prime factors of 79051 and 79062.

Prime Factorization of 79051

Prime factors of 79051 are 7, 23, 491. Prime factorization of 79051 in exponential form is:

79051 = 71 × 231 × 4911

Prime Factorization of 79062

Prime factors of 79062 are 2, 3, 13177. Prime factorization of 79062 in exponential form is:

79062 = 21 × 31 × 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 79051 and 79062.

LCM(79051,79062) = 71 × 231 × 4911 × 21 × 31 × 131771
LCM(79051,79062) = 6249930162