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What is the Least Common Multiple of 4805 and 4810?

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 4805 and 4810 is 4622410.

LCM(4805,4810) = 4622410

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Least Common Multiple of 4805 and 4810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4805 and 4810, than apply into the LCM equation.

GCF(4805,4810) = 5
LCM(4805,4810) = ( 4805 × 4810) / 5
LCM(4805,4810) = 23112050 / 5
LCM(4805,4810) = 4622410

Least Common Multiple (LCM) of 4805 and 4810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4805 and 4810. First we will calculate the prime factors of 4805 and 4810.

Prime Factorization of 4805

Prime factors of 4805 are 5, 31. Prime factorization of 4805 in exponential form is:

4805 = 51 × 312

Prime Factorization of 4810

Prime factors of 4810 are 2, 5, 13, 37. Prime factorization of 4810 in exponential form is:

4810 = 21 × 51 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4805 and 4810.

LCM(4805,4810) = 51 × 312 × 21 × 131 × 371
LCM(4805,4810) = 4622410