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What is the Least Common Multiple of 4191 and 4207?

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 4191 and 4207 is 17631537.

LCM(4191,4207) = 17631537

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Least Common Multiple of 4191 and 4207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4191 and 4207, than apply into the LCM equation.

GCF(4191,4207) = 1
LCM(4191,4207) = ( 4191 × 4207) / 1
LCM(4191,4207) = 17631537 / 1
LCM(4191,4207) = 17631537

Least Common Multiple (LCM) of 4191 and 4207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4191 and 4207. First we will calculate the prime factors of 4191 and 4207.

Prime Factorization of 4191

Prime factors of 4191 are 3, 11, 127. Prime factorization of 4191 in exponential form is:

4191 = 31 × 111 × 1271

Prime Factorization of 4207

Prime factors of 4207 are 7, 601. Prime factorization of 4207 in exponential form is:

4207 = 71 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 4191 and 4207.

LCM(4191,4207) = 31 × 111 × 1271 × 71 × 6011
LCM(4191,4207) = 17631537