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What is the Least Common Multiple of 2684 and 2692?

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 2684 and 2692 is 1806332.

LCM(2684,2692) = 1806332

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Least Common Multiple of 2684 and 2692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2684 and 2692, than apply into the LCM equation.

GCF(2684,2692) = 4
LCM(2684,2692) = ( 2684 × 2692) / 4
LCM(2684,2692) = 7225328 / 4
LCM(2684,2692) = 1806332

Least Common Multiple (LCM) of 2684 and 2692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2684 and 2692. First we will calculate the prime factors of 2684 and 2692.

Prime Factorization of 2684

Prime factors of 2684 are 2, 11, 61. Prime factorization of 2684 in exponential form is:

2684 = 22 × 111 × 611

Prime Factorization of 2692

Prime factors of 2692 are 2, 673. Prime factorization of 2692 in exponential form is:

2692 = 22 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 2684 and 2692.

LCM(2684,2692) = 22 × 111 × 611 × 6731
LCM(2684,2692) = 1806332