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What is the Least Common Multiple of 55945 and 55962?

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 55945 and 55962 is 3130794090.

LCM(55945,55962) = 3130794090

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Least Common Multiple of 55945 and 55962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55945 and 55962, than apply into the LCM equation.

GCF(55945,55962) = 1
LCM(55945,55962) = ( 55945 × 55962) / 1
LCM(55945,55962) = 3130794090 / 1
LCM(55945,55962) = 3130794090

Least Common Multiple (LCM) of 55945 and 55962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55945 and 55962. First we will calculate the prime factors of 55945 and 55962.

Prime Factorization of 55945

Prime factors of 55945 are 5, 67, 167. Prime factorization of 55945 in exponential form is:

55945 = 51 × 671 × 1671

Prime Factorization of 55962

Prime factors of 55962 are 2, 3, 3109. Prime factorization of 55962 in exponential form is:

55962 = 21 × 32 × 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 55945 and 55962.

LCM(55945,55962) = 51 × 671 × 1671 × 21 × 32 × 31091
LCM(55945,55962) = 3130794090