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What is the Least Common Multiple of 68997 and 69001?

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 68997 and 69001 is 4760861997.

LCM(68997,69001) = 4760861997

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Least Common Multiple of 68997 and 69001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68997 and 69001, than apply into the LCM equation.

GCF(68997,69001) = 1
LCM(68997,69001) = ( 68997 × 69001) / 1
LCM(68997,69001) = 4760861997 / 1
LCM(68997,69001) = 4760861997

Least Common Multiple (LCM) of 68997 and 69001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68997 and 69001. First we will calculate the prime factors of 68997 and 69001.

Prime Factorization of 68997

Prime factors of 68997 are 3, 109, 211. Prime factorization of 68997 in exponential form is:

68997 = 31 × 1091 × 2111

Prime Factorization of 69001

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

69001 = 690011

Now multiplying the highest exponent prime factors to calculate the LCM of 68997 and 69001.

LCM(68997,69001) = 31 × 1091 × 2111 × 690011
LCM(68997,69001) = 4760861997