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What is the Least Common Multiple of 24947 and 24959?

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 24947 and 24959 is 622652173.

LCM(24947,24959) = 622652173

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Least Common Multiple of 24947 and 24959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24947 and 24959, than apply into the LCM equation.

GCF(24947,24959) = 1
LCM(24947,24959) = ( 24947 × 24959) / 1
LCM(24947,24959) = 622652173 / 1
LCM(24947,24959) = 622652173

Least Common Multiple (LCM) of 24947 and 24959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24947 and 24959. First we will calculate the prime factors of 24947 and 24959.

Prime Factorization of 24947

Prime factors of 24947 are 13, 19, 101. Prime factorization of 24947 in exponential form is:

24947 = 131 × 191 × 1011

Prime Factorization of 24959

Prime factors of 24959 are 11, 2269. Prime factorization of 24959 in exponential form is:

24959 = 111 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 24947 and 24959.

LCM(24947,24959) = 131 × 191 × 1011 × 111 × 22691
LCM(24947,24959) = 622652173