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What is the Least Common Multiple of 6133 and 6144?

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 6133 and 6144 is 37681152.

LCM(6133,6144) = 37681152

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Least Common Multiple of 6133 and 6144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6133 and 6144, than apply into the LCM equation.

GCF(6133,6144) = 1
LCM(6133,6144) = ( 6133 × 6144) / 1
LCM(6133,6144) = 37681152 / 1
LCM(6133,6144) = 37681152

Least Common Multiple (LCM) of 6133 and 6144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6133 and 6144. First we will calculate the prime factors of 6133 and 6144.

Prime Factorization of 6133

Prime factors of 6133 are 6133. Prime factorization of 6133 in exponential form is:

6133 = 61331

Prime Factorization of 6144

Prime factors of 6144 are 2, 3. Prime factorization of 6144 in exponential form is:

6144 = 211 × 31

Now multiplying the highest exponent prime factors to calculate the LCM of 6133 and 6144.

LCM(6133,6144) = 61331 × 211 × 31
LCM(6133,6144) = 37681152