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What is the Least Common Multiple of 79017 and 79030?

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 79017 and 79030 is 6244713510.

LCM(79017,79030) = 6244713510

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Least Common Multiple of 79017 and 79030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79017 and 79030, than apply into the LCM equation.

GCF(79017,79030) = 1
LCM(79017,79030) = ( 79017 × 79030) / 1
LCM(79017,79030) = 6244713510 / 1
LCM(79017,79030) = 6244713510

Least Common Multiple (LCM) of 79017 and 79030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79017 and 79030. First we will calculate the prime factors of 79017 and 79030.

Prime Factorization of 79017

Prime factors of 79017 are 3, 26339. Prime factorization of 79017 in exponential form is:

79017 = 31 × 263391

Prime Factorization of 79030

Prime factors of 79030 are 2, 5, 7, 1129. Prime factorization of 79030 in exponential form is:

79030 = 21 × 51 × 71 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 79017 and 79030.

LCM(79017,79030) = 31 × 263391 × 21 × 51 × 71 × 11291
LCM(79017,79030) = 6244713510