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What is the Least Common Multiple of 5955 and 5964?

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 5955 and 5964 is 11838540.

LCM(5955,5964) = 11838540

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Least Common Multiple of 5955 and 5964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5955 and 5964, than apply into the LCM equation.

GCF(5955,5964) = 3
LCM(5955,5964) = ( 5955 × 5964) / 3
LCM(5955,5964) = 35515620 / 3
LCM(5955,5964) = 11838540

Least Common Multiple (LCM) of 5955 and 5964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5955 and 5964. First we will calculate the prime factors of 5955 and 5964.

Prime Factorization of 5955

Prime factors of 5955 are 3, 5, 397. Prime factorization of 5955 in exponential form is:

5955 = 31 × 51 × 3971

Prime Factorization of 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 22 × 31 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 5955 and 5964.

LCM(5955,5964) = 31 × 51 × 3971 × 22 × 71 × 711
LCM(5955,5964) = 11838540