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What is the Least Common Multiple of 2662 and 2677?

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 2662 and 2677 is 7126174.

LCM(2662,2677) = 7126174

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Least Common Multiple of 2662 and 2677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2662 and 2677, than apply into the LCM equation.

GCF(2662,2677) = 1
LCM(2662,2677) = ( 2662 × 2677) / 1
LCM(2662,2677) = 7126174 / 1
LCM(2662,2677) = 7126174

Least Common Multiple (LCM) of 2662 and 2677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2662 and 2677. First we will calculate the prime factors of 2662 and 2677.

Prime Factorization of 2662

Prime factors of 2662 are 2, 11. Prime factorization of 2662 in exponential form is:

2662 = 21 × 113

Prime Factorization of 2677

Prime factors of 2677 are 2677. Prime factorization of 2677 in exponential form is:

2677 = 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 2662 and 2677.

LCM(2662,2677) = 21 × 113 × 26771
LCM(2662,2677) = 7126174