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What is the Least Common Multiple of 62730 and 62737?

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 62730 and 62737 is 3935492010.

LCM(62730,62737) = 3935492010

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Least Common Multiple of 62730 and 62737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62730 and 62737, than apply into the LCM equation.

GCF(62730,62737) = 1
LCM(62730,62737) = ( 62730 × 62737) / 1
LCM(62730,62737) = 3935492010 / 1
LCM(62730,62737) = 3935492010

Least Common Multiple (LCM) of 62730 and 62737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62730 and 62737. First we will calculate the prime factors of 62730 and 62737.

Prime Factorization of 62730

Prime factors of 62730 are 2, 3, 5, 17, 41. Prime factorization of 62730 in exponential form is:

62730 = 21 × 32 × 51 × 171 × 411

Prime Factorization of 62737

Prime factors of 62737 are 43, 1459. Prime factorization of 62737 in exponential form is:

62737 = 431 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 62730 and 62737.

LCM(62730,62737) = 21 × 32 × 51 × 171 × 411 × 431 × 14591
LCM(62730,62737) = 3935492010