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What is the Least Common Multiple of 5955 and 5969?

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 5969 is 35545395.

LCM(5955,5969) = 35545395

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Least Common Multiple of 5955 and 5969 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 5969, than apply into the LCM equation.

GCF(5955,5969) = 1
LCM(5955,5969) = ( 5955 × 5969) / 1
LCM(5955,5969) = 35545395 / 1
LCM(5955,5969) = 35545395

Least Common Multiple (LCM) of 5955 and 5969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5955 and 5969. First we will calculate the prime factors of 5955 and 5969.

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 5969

Prime factors of 5969 are 47, 127. Prime factorization of 5969 in exponential form is:

5969 = 471 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5955 and 5969.

LCM(5955,5969) = 31 × 51 × 3971 × 471 × 1271
LCM(5955,5969) = 35545395