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What is the Least Common Multiple of 24718 and 24727?

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 24718 and 24727 is 611201986.

LCM(24718,24727) = 611201986

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Least Common Multiple of 24718 and 24727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24718 and 24727, than apply into the LCM equation.

GCF(24718,24727) = 1
LCM(24718,24727) = ( 24718 × 24727) / 1
LCM(24718,24727) = 611201986 / 1
LCM(24718,24727) = 611201986

Least Common Multiple (LCM) of 24718 and 24727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24718 and 24727. First we will calculate the prime factors of 24718 and 24727.

Prime Factorization of 24718

Prime factors of 24718 are 2, 17, 727. Prime factorization of 24718 in exponential form is:

24718 = 21 × 171 × 7271

Prime Factorization of 24727

Prime factors of 24727 are 79, 313. Prime factorization of 24727 in exponential form is:

24727 = 791 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 24718 and 24727.

LCM(24718,24727) = 21 × 171 × 7271 × 791 × 3131
LCM(24718,24727) = 611201986