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What is the Least Common Multiple of 79610 and 79618?

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 79610 and 79618 is 3169194490.

LCM(79610,79618) = 3169194490

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Least Common Multiple of 79610 and 79618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79610 and 79618, than apply into the LCM equation.

GCF(79610,79618) = 2
LCM(79610,79618) = ( 79610 × 79618) / 2
LCM(79610,79618) = 6338388980 / 2
LCM(79610,79618) = 3169194490

Least Common Multiple (LCM) of 79610 and 79618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79610 and 79618. First we will calculate the prime factors of 79610 and 79618.

Prime Factorization of 79610

Prime factors of 79610 are 2, 5, 19, 419. Prime factorization of 79610 in exponential form is:

79610 = 21 × 51 × 191 × 4191

Prime Factorization of 79618

Prime factors of 79618 are 2, 7, 11, 47. Prime factorization of 79618 in exponential form is:

79618 = 21 × 71 × 112 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 79610 and 79618.

LCM(79610,79618) = 21 × 51 × 191 × 4191 × 71 × 112 × 471
LCM(79610,79618) = 3169194490