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What is the Least Common Multiple of 72537 and 72547?

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 72537 and 72547 is 5262341739.

LCM(72537,72547) = 5262341739

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Least Common Multiple of 72537 and 72547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72537 and 72547, than apply into the LCM equation.

GCF(72537,72547) = 1
LCM(72537,72547) = ( 72537 × 72547) / 1
LCM(72537,72547) = 5262341739 / 1
LCM(72537,72547) = 5262341739

Least Common Multiple (LCM) of 72537 and 72547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72537 and 72547. First we will calculate the prime factors of 72537 and 72547.

Prime Factorization of 72537

Prime factors of 72537 are 3, 24179. Prime factorization of 72537 in exponential form is:

72537 = 31 × 241791

Prime Factorization of 72547

Prime factors of 72547 are 72547. Prime factorization of 72547 in exponential form is:

72547 = 725471

Now multiplying the highest exponent prime factors to calculate the LCM of 72537 and 72547.

LCM(72537,72547) = 31 × 241791 × 725471
LCM(72537,72547) = 5262341739