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What is the Least Common Multiple of 40700 and 40710?

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 40700 and 40710 is 165689700.

LCM(40700,40710) = 165689700

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Least Common Multiple of 40700 and 40710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40700 and 40710, than apply into the LCM equation.

GCF(40700,40710) = 10
LCM(40700,40710) = ( 40700 × 40710) / 10
LCM(40700,40710) = 1656897000 / 10
LCM(40700,40710) = 165689700

Least Common Multiple (LCM) of 40700 and 40710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40700 and 40710. First we will calculate the prime factors of 40700 and 40710.

Prime Factorization of 40700

Prime factors of 40700 are 2, 5, 11, 37. Prime factorization of 40700 in exponential form is:

40700 = 22 × 52 × 111 × 371

Prime Factorization of 40710

Prime factors of 40710 are 2, 3, 5, 23, 59. Prime factorization of 40710 in exponential form is:

40710 = 21 × 31 × 51 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 40700 and 40710.

LCM(40700,40710) = 22 × 52 × 111 × 371 × 31 × 231 × 591
LCM(40700,40710) = 165689700

Related Least Common Multiples of 40700

Related Least Common Multiples of 40710