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What is the Least Common Multiple of 13762 and 13782?

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 13762 and 13782 is 94833942.

LCM(13762,13782) = 94833942

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Least Common Multiple of 13762 and 13782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13762 and 13782, than apply into the LCM equation.

GCF(13762,13782) = 2
LCM(13762,13782) = ( 13762 × 13782) / 2
LCM(13762,13782) = 189667884 / 2
LCM(13762,13782) = 94833942

Least Common Multiple (LCM) of 13762 and 13782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13762 and 13782. First we will calculate the prime factors of 13762 and 13782.

Prime Factorization of 13762

Prime factors of 13762 are 2, 7, 983. Prime factorization of 13762 in exponential form is:

13762 = 21 × 71 × 9831

Prime Factorization of 13782

Prime factors of 13782 are 2, 3, 2297. Prime factorization of 13782 in exponential form is:

13782 = 21 × 31 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 13762 and 13782.

LCM(13762,13782) = 21 × 71 × 9831 × 31 × 22971
LCM(13762,13782) = 94833942