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What is the Least Common Multiple of 67617 and 67622?

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 67617 and 67622 is 4572396774.

LCM(67617,67622) = 4572396774

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Least Common Multiple of 67617 and 67622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67617 and 67622, than apply into the LCM equation.

GCF(67617,67622) = 1
LCM(67617,67622) = ( 67617 × 67622) / 1
LCM(67617,67622) = 4572396774 / 1
LCM(67617,67622) = 4572396774

Least Common Multiple (LCM) of 67617 and 67622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67617 and 67622. First we will calculate the prime factors of 67617 and 67622.

Prime Factorization of 67617

Prime factors of 67617 are 3, 11, 683. Prime factorization of 67617 in exponential form is:

67617 = 32 × 111 × 6831

Prime Factorization of 67622

Prime factors of 67622 are 2, 33811. Prime factorization of 67622 in exponential form is:

67622 = 21 × 338111

Now multiplying the highest exponent prime factors to calculate the LCM of 67617 and 67622.

LCM(67617,67622) = 32 × 111 × 6831 × 21 × 338111
LCM(67617,67622) = 4572396774