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What is the Least Common Multiple of 55956 and 55965?

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 55956 and 55965 is 1043859180.

LCM(55956,55965) = 1043859180

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Least Common Multiple of 55956 and 55965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55956 and 55965, than apply into the LCM equation.

GCF(55956,55965) = 3
LCM(55956,55965) = ( 55956 × 55965) / 3
LCM(55956,55965) = 3131577540 / 3
LCM(55956,55965) = 1043859180

Least Common Multiple (LCM) of 55956 and 55965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55956 and 55965. First we will calculate the prime factors of 55956 and 55965.

Prime Factorization of 55956

Prime factors of 55956 are 2, 3, 4663. Prime factorization of 55956 in exponential form is:

55956 = 22 × 31 × 46631

Prime Factorization of 55965

Prime factors of 55965 are 3, 5, 7, 13, 41. Prime factorization of 55965 in exponential form is:

55965 = 31 × 51 × 71 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 55956 and 55965.

LCM(55956,55965) = 22 × 31 × 46631 × 51 × 71 × 131 × 411
LCM(55956,55965) = 1043859180