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What is the Least Common Multiple of 62707 and 62721?

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 62707 and 62721 is 3933045747.

LCM(62707,62721) = 3933045747

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Least Common Multiple of 62707 and 62721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62707 and 62721, than apply into the LCM equation.

GCF(62707,62721) = 1
LCM(62707,62721) = ( 62707 × 62721) / 1
LCM(62707,62721) = 3933045747 / 1
LCM(62707,62721) = 3933045747

Least Common Multiple (LCM) of 62707 and 62721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62707 and 62721. First we will calculate the prime factors of 62707 and 62721.

Prime Factorization of 62707

Prime factors of 62707 are 73, 859. Prime factorization of 62707 in exponential form is:

62707 = 731 × 8591

Prime Factorization of 62721

Prime factors of 62721 are 3, 23, 101. Prime factorization of 62721 in exponential form is:

62721 = 33 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 62707 and 62721.

LCM(62707,62721) = 731 × 8591 × 33 × 231 × 1011
LCM(62707,62721) = 3933045747