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What is the Least Common Multiple of 72737 and 72746?

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 72737 and 72746 is 5291325802.

LCM(72737,72746) = 5291325802

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Least Common Multiple of 72737 and 72746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72737 and 72746, than apply into the LCM equation.

GCF(72737,72746) = 1
LCM(72737,72746) = ( 72737 × 72746) / 1
LCM(72737,72746) = 5291325802 / 1
LCM(72737,72746) = 5291325802

Least Common Multiple (LCM) of 72737 and 72746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72737 and 72746. First we will calculate the prime factors of 72737 and 72746.

Prime Factorization of 72737

Prime factors of 72737 are 7, 10391. Prime factorization of 72737 in exponential form is:

72737 = 71 × 103911

Prime Factorization of 72746

Prime factors of 72746 are 2, 36373. Prime factorization of 72746 in exponential form is:

72746 = 21 × 363731

Now multiplying the highest exponent prime factors to calculate the LCM of 72737 and 72746.

LCM(72737,72746) = 71 × 103911 × 21 × 363731
LCM(72737,72746) = 5291325802