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What is the Least Common Multiple of 11955 and 11973?

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 11955 and 11973 is 47712405.

LCM(11955,11973) = 47712405

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Least Common Multiple of 11955 and 11973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11955 and 11973, than apply into the LCM equation.

GCF(11955,11973) = 3
LCM(11955,11973) = ( 11955 × 11973) / 3
LCM(11955,11973) = 143137215 / 3
LCM(11955,11973) = 47712405

Least Common Multiple (LCM) of 11955 and 11973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11955 and 11973. First we will calculate the prime factors of 11955 and 11973.

Prime Factorization of 11955

Prime factors of 11955 are 3, 5, 797. Prime factorization of 11955 in exponential form is:

11955 = 31 × 51 × 7971

Prime Factorization of 11973

Prime factors of 11973 are 3, 13, 307. Prime factorization of 11973 in exponential form is:

11973 = 31 × 131 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 11955 and 11973.

LCM(11955,11973) = 31 × 51 × 7971 × 131 × 3071
LCM(11955,11973) = 47712405