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What is the Least Common Multiple of 55810 and 55815?

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 55810 and 55815 is 623007030.

LCM(55810,55815) = 623007030

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Least Common Multiple of 55810 and 55815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55810 and 55815, than apply into the LCM equation.

GCF(55810,55815) = 5
LCM(55810,55815) = ( 55810 × 55815) / 5
LCM(55810,55815) = 3115035150 / 5
LCM(55810,55815) = 623007030

Least Common Multiple (LCM) of 55810 and 55815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55810 and 55815. First we will calculate the prime factors of 55810 and 55815.

Prime Factorization of 55810

Prime factors of 55810 are 2, 5, 5581. Prime factorization of 55810 in exponential form is:

55810 = 21 × 51 × 55811

Prime Factorization of 55815

Prime factors of 55815 are 3, 5, 61. Prime factorization of 55815 in exponential form is:

55815 = 31 × 51 × 612

Now multiplying the highest exponent prime factors to calculate the LCM of 55810 and 55815.

LCM(55810,55815) = 21 × 51 × 55811 × 31 × 612
LCM(55810,55815) = 623007030