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What is the Least Common Multiple of 24727 and 24731?

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 24727 and 24731 is 611523437.

LCM(24727,24731) = 611523437

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Least Common Multiple of 24727 and 24731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24727 and 24731, than apply into the LCM equation.

GCF(24727,24731) = 1
LCM(24727,24731) = ( 24727 × 24731) / 1
LCM(24727,24731) = 611523437 / 1
LCM(24727,24731) = 611523437

Least Common Multiple (LCM) of 24727 and 24731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24727 and 24731. First we will calculate the prime factors of 24727 and 24731.

Prime Factorization of 24727

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

24727 = 791 × 3131

Prime Factorization of 24731

Prime factors of 24731 are 7, 3533. Prime factorization of 24731 in exponential form is:

24731 = 71 × 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 24727 and 24731.

LCM(24727,24731) = 791 × 3131 × 71 × 35331
LCM(24727,24731) = 611523437