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What is the Least Common Multiple of 79618 and 79622?

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 79618 and 79622 is 3169672198.

LCM(79618,79622) = 3169672198

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Least Common Multiple of 79618 and 79622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79618 and 79622, than apply into the LCM equation.

GCF(79618,79622) = 2
LCM(79618,79622) = ( 79618 × 79622) / 2
LCM(79618,79622) = 6339344396 / 2
LCM(79618,79622) = 3169672198

Least Common Multiple (LCM) of 79618 and 79622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79618 and 79622. First we will calculate the prime factors of 79618 and 79622.

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

Prime Factorization of 79622

Prime factors of 79622 are 2, 41, 971. Prime factorization of 79622 in exponential form is:

79622 = 21 × 411 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 79618 and 79622.

LCM(79618,79622) = 21 × 71 × 112 × 471 × 411 × 9711
LCM(79618,79622) = 3169672198