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What is the Least Common Multiple of 4257 and 4268?

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 4257 and 4268 is 1651716.

LCM(4257,4268) = 1651716

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Least Common Multiple of 4257 and 4268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4257 and 4268, than apply into the LCM equation.

GCF(4257,4268) = 11
LCM(4257,4268) = ( 4257 × 4268) / 11
LCM(4257,4268) = 18168876 / 11
LCM(4257,4268) = 1651716

Least Common Multiple (LCM) of 4257 and 4268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4257 and 4268. First we will calculate the prime factors of 4257 and 4268.

Prime Factorization of 4257

Prime factors of 4257 are 3, 11, 43. Prime factorization of 4257 in exponential form is:

4257 = 32 × 111 × 431

Prime Factorization of 4268

Prime factors of 4268 are 2, 11, 97. Prime factorization of 4268 in exponential form is:

4268 = 22 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 4257 and 4268.

LCM(4257,4268) = 32 × 111 × 431 × 22 × 971
LCM(4257,4268) = 1651716