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What is the Least Common Multiple of 69007 and 69018?

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 69007 and 69018 is 4762725126.

LCM(69007,69018) = 4762725126

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Least Common Multiple of 69007 and 69018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69007 and 69018, than apply into the LCM equation.

GCF(69007,69018) = 1
LCM(69007,69018) = ( 69007 × 69018) / 1
LCM(69007,69018) = 4762725126 / 1
LCM(69007,69018) = 4762725126

Least Common Multiple (LCM) of 69007 and 69018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69007 and 69018. First we will calculate the prime factors of 69007 and 69018.

Prime Factorization of 69007

Prime factors of 69007 are 151, 457. Prime factorization of 69007 in exponential form is:

69007 = 1511 × 4571

Prime Factorization of 69018

Prime factors of 69018 are 2, 3, 11503. Prime factorization of 69018 in exponential form is:

69018 = 21 × 31 × 115031

Now multiplying the highest exponent prime factors to calculate the LCM of 69007 and 69018.

LCM(69007,69018) = 1511 × 4571 × 21 × 31 × 115031
LCM(69007,69018) = 4762725126