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What is the Least Common Multiple of 69001 and 69014?

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 69001 and 69014 is 4762035014.

LCM(69001,69014) = 4762035014

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Least Common Multiple of 69001 and 69014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69001 and 69014, than apply into the LCM equation.

GCF(69001,69014) = 1
LCM(69001,69014) = ( 69001 × 69014) / 1
LCM(69001,69014) = 4762035014 / 1
LCM(69001,69014) = 4762035014

Least Common Multiple (LCM) of 69001 and 69014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69001 and 69014. First we will calculate the prime factors of 69001 and 69014.

Prime Factorization of 69001

Prime factors of 69001 are 69001. Prime factorization of 69001 in exponential form is:

69001 = 690011

Prime Factorization of 69014

Prime factors of 69014 are 2, 11, 3137. Prime factorization of 69014 in exponential form is:

69014 = 21 × 111 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 69001 and 69014.

LCM(69001,69014) = 690011 × 21 × 111 × 31371
LCM(69001,69014) = 4762035014