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What is the Least Common Multiple of 79325 and 79334?

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 79325 and 79334 is 6293169550.

LCM(79325,79334) = 6293169550

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Least Common Multiple of 79325 and 79334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79325 and 79334, than apply into the LCM equation.

GCF(79325,79334) = 1
LCM(79325,79334) = ( 79325 × 79334) / 1
LCM(79325,79334) = 6293169550 / 1
LCM(79325,79334) = 6293169550

Least Common Multiple (LCM) of 79325 and 79334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79325 and 79334. First we will calculate the prime factors of 79325 and 79334.

Prime Factorization of 79325

Prime factors of 79325 are 5, 19, 167. Prime factorization of 79325 in exponential form is:

79325 = 52 × 191 × 1671

Prime Factorization of 79334

Prime factors of 79334 are 2, 39667. Prime factorization of 79334 in exponential form is:

79334 = 21 × 396671

Now multiplying the highest exponent prime factors to calculate the LCM of 79325 and 79334.

LCM(79325,79334) = 52 × 191 × 1671 × 21 × 396671
LCM(79325,79334) = 6293169550