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What is the Least Common Multiple of 55725 and 55731?

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 55725 and 55731 is 1035203325.

LCM(55725,55731) = 1035203325

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Least Common Multiple of 55725 and 55731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55725 and 55731, than apply into the LCM equation.

GCF(55725,55731) = 3
LCM(55725,55731) = ( 55725 × 55731) / 3
LCM(55725,55731) = 3105609975 / 3
LCM(55725,55731) = 1035203325

Least Common Multiple (LCM) of 55725 and 55731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55725 and 55731. First we will calculate the prime factors of 55725 and 55731.

Prime Factorization of 55725

Prime factors of 55725 are 3, 5, 743. Prime factorization of 55725 in exponential form is:

55725 = 31 × 52 × 7431

Prime Factorization of 55731

Prime factors of 55731 are 3, 13, 1429. Prime factorization of 55731 in exponential form is:

55731 = 31 × 131 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 55725 and 55731.

LCM(55725,55731) = 31 × 52 × 7431 × 131 × 14291
LCM(55725,55731) = 1035203325