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What is the Least Common Multiple of 23754 and 23768?

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 23754 and 23768 is 282292536.

LCM(23754,23768) = 282292536

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Least Common Multiple of 23754 and 23768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23754 and 23768, than apply into the LCM equation.

GCF(23754,23768) = 2
LCM(23754,23768) = ( 23754 × 23768) / 2
LCM(23754,23768) = 564585072 / 2
LCM(23754,23768) = 282292536

Least Common Multiple (LCM) of 23754 and 23768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23754 and 23768. First we will calculate the prime factors of 23754 and 23768.

Prime Factorization of 23754

Prime factors of 23754 are 2, 3, 37, 107. Prime factorization of 23754 in exponential form is:

23754 = 21 × 31 × 371 × 1071

Prime Factorization of 23768

Prime factors of 23768 are 2, 2971. Prime factorization of 23768 in exponential form is:

23768 = 23 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 23754 and 23768.

LCM(23754,23768) = 23 × 31 × 371 × 1071 × 29711
LCM(23754,23768) = 282292536