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What is the Least Common Multiple of 67607 and 67611?

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 67607 and 67611 is 4570976877.

LCM(67607,67611) = 4570976877

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Least Common Multiple of 67607 and 67611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67607 and 67611, than apply into the LCM equation.

GCF(67607,67611) = 1
LCM(67607,67611) = ( 67607 × 67611) / 1
LCM(67607,67611) = 4570976877 / 1
LCM(67607,67611) = 4570976877

Least Common Multiple (LCM) of 67607 and 67611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67607 and 67611. First we will calculate the prime factors of 67607 and 67611.

Prime Factorization of 67607

Prime factors of 67607 are 67607. Prime factorization of 67607 in exponential form is:

67607 = 676071

Prime Factorization of 67611

Prime factors of 67611 are 3, 31, 727. Prime factorization of 67611 in exponential form is:

67611 = 31 × 311 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 67607 and 67611.

LCM(67607,67611) = 676071 × 31 × 311 × 7271
LCM(67607,67611) = 4570976877