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What is the Least Common Multiple of 4913 and 4930?

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 4913 and 4930 is 1424770.

LCM(4913,4930) = 1424770

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Least Common Multiple of 4913 and 4930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4913 and 4930, than apply into the LCM equation.

GCF(4913,4930) = 17
LCM(4913,4930) = ( 4913 × 4930) / 17
LCM(4913,4930) = 24221090 / 17
LCM(4913,4930) = 1424770

Least Common Multiple (LCM) of 4913 and 4930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4913 and 4930. First we will calculate the prime factors of 4913 and 4930.

Prime Factorization of 4913

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

Prime Factorization of 4930

Prime factors of 4930 are 2, 5, 17, 29. Prime factorization of 4930 in exponential form is:

4930 = 21 × 51 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4913 and 4930.

LCM(4913,4930) = 173 × 21 × 51 × 291
LCM(4913,4930) = 1424770