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What is the Least Common Multiple of 4607 and 4613?

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 4607 and 4613 is 21252091.

LCM(4607,4613) = 21252091

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Least Common Multiple of 4607 and 4613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4607 and 4613, than apply into the LCM equation.

GCF(4607,4613) = 1
LCM(4607,4613) = ( 4607 × 4613) / 1
LCM(4607,4613) = 21252091 / 1
LCM(4607,4613) = 21252091

Least Common Multiple (LCM) of 4607 and 4613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4607 and 4613. First we will calculate the prime factors of 4607 and 4613.

Prime Factorization of 4607

Prime factors of 4607 are 17, 271. Prime factorization of 4607 in exponential form is:

4607 = 171 × 2711

Prime Factorization of 4613

Prime factors of 4613 are 7, 659. Prime factorization of 4613 in exponential form is:

4613 = 71 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 4607 and 4613.

LCM(4607,4613) = 171 × 2711 × 71 × 6591
LCM(4607,4613) = 21252091