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What is the Least Common Multiple of 41679 and 41692?

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 41679 and 41692 is 1737680868.

LCM(41679,41692) = 1737680868

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Least Common Multiple of 41679 and 41692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41679 and 41692, than apply into the LCM equation.

GCF(41679,41692) = 1
LCM(41679,41692) = ( 41679 × 41692) / 1
LCM(41679,41692) = 1737680868 / 1
LCM(41679,41692) = 1737680868

Least Common Multiple (LCM) of 41679 and 41692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41679 and 41692. First we will calculate the prime factors of 41679 and 41692.

Prime Factorization of 41679

Prime factors of 41679 are 3, 11, 421. Prime factorization of 41679 in exponential form is:

41679 = 32 × 111 × 4211

Prime Factorization of 41692

Prime factors of 41692 are 2, 7, 1489. Prime factorization of 41692 in exponential form is:

41692 = 22 × 71 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 41679 and 41692.

LCM(41679,41692) = 32 × 111 × 4211 × 22 × 71 × 14891
LCM(41679,41692) = 1737680868