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What is the Least Common Multiple of 55953 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 55953 and 55962 is 347915754.

LCM(55953,55962) = 347915754

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Least Common Multiple of 55953 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 55953 and 55962, than apply into the LCM equation.

GCF(55953,55962) = 9
LCM(55953,55962) = ( 55953 × 55962) / 9
LCM(55953,55962) = 3131241786 / 9
LCM(55953,55962) = 347915754

Least Common Multiple (LCM) of 55953 and 55962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55953 and 55962. First we will calculate the prime factors of 55953 and 55962.

Prime Factorization of 55953

Prime factors of 55953 are 3, 6217. Prime factorization of 55953 in exponential form is:

55953 = 32 × 62171

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 55953 and 55962.

LCM(55953,55962) = 32 × 62171 × 21 × 31091
LCM(55953,55962) = 347915754