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What is the Least Common Multiple of 3232 and 3251?

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 3232 and 3251 is 10507232.

LCM(3232,3251) = 10507232

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Least Common Multiple of 3232 and 3251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3232 and 3251, than apply into the LCM equation.

GCF(3232,3251) = 1
LCM(3232,3251) = ( 3232 × 3251) / 1
LCM(3232,3251) = 10507232 / 1
LCM(3232,3251) = 10507232

Least Common Multiple (LCM) of 3232 and 3251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3232 and 3251. First we will calculate the prime factors of 3232 and 3251.

Prime Factorization of 3232

Prime factors of 3232 are 2, 101. Prime factorization of 3232 in exponential form is:

3232 = 25 × 1011

Prime Factorization of 3251

Prime factors of 3251 are 3251. Prime factorization of 3251 in exponential form is:

3251 = 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 3232 and 3251.

LCM(3232,3251) = 25 × 1011 × 32511
LCM(3232,3251) = 10507232