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What is the Least Common Multiple of 55974 and 55987?

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 55974 and 55987 is 3133816338.

LCM(55974,55987) = 3133816338

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Least Common Multiple of 55974 and 55987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55974 and 55987, than apply into the LCM equation.

GCF(55974,55987) = 1
LCM(55974,55987) = ( 55974 × 55987) / 1
LCM(55974,55987) = 3133816338 / 1
LCM(55974,55987) = 3133816338

Least Common Multiple (LCM) of 55974 and 55987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55974 and 55987. First we will calculate the prime factors of 55974 and 55987.

Prime Factorization of 55974

Prime factors of 55974 are 2, 3, 19, 491. Prime factorization of 55974 in exponential form is:

55974 = 21 × 31 × 191 × 4911

Prime Factorization of 55987

Prime factors of 55987 are 55987. Prime factorization of 55987 in exponential form is:

55987 = 559871

Now multiplying the highest exponent prime factors to calculate the LCM of 55974 and 55987.

LCM(55974,55987) = 21 × 31 × 191 × 4911 × 559871
LCM(55974,55987) = 3133816338