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What is the Least Common Multiple of 55961 and 55974?

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 55961 and 55974 is 3132361014.

LCM(55961,55974) = 3132361014

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Least Common Multiple of 55961 and 55974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55961 and 55974, than apply into the LCM equation.

GCF(55961,55974) = 1
LCM(55961,55974) = ( 55961 × 55974) / 1
LCM(55961,55974) = 3132361014 / 1
LCM(55961,55974) = 3132361014

Least Common Multiple (LCM) of 55961 and 55974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55961 and 55974. First we will calculate the prime factors of 55961 and 55974.

Prime Factorization of 55961

Prime factors of 55961 are 107, 523. Prime factorization of 55961 in exponential form is:

55961 = 1071 × 5231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 55961 and 55974.

LCM(55961,55974) = 1071 × 5231 × 21 × 31 × 191 × 4911
LCM(55961,55974) = 3132361014