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What is the Least Common Multiple of 68607 and 68611?

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 68607 and 68611 is 4707194877.

LCM(68607,68611) = 4707194877

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Least Common Multiple of 68607 and 68611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68607 and 68611, than apply into the LCM equation.

GCF(68607,68611) = 1
LCM(68607,68611) = ( 68607 × 68611) / 1
LCM(68607,68611) = 4707194877 / 1
LCM(68607,68611) = 4707194877

Least Common Multiple (LCM) of 68607 and 68611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68607 and 68611. First we will calculate the prime factors of 68607 and 68611.

Prime Factorization of 68607

Prime factors of 68607 are 3, 7, 11. Prime factorization of 68607 in exponential form is:

68607 = 34 × 71 × 112

Prime Factorization of 68611

Prime factors of 68611 are 68611. Prime factorization of 68611 in exponential form is:

68611 = 686111

Now multiplying the highest exponent prime factors to calculate the LCM of 68607 and 68611.

LCM(68607,68611) = 34 × 71 × 112 × 686111
LCM(68607,68611) = 4707194877