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What is the Least Common Multiple of 62865 and 62872?

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 62865 and 62872 is 3952448280.

LCM(62865,62872) = 3952448280

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Least Common Multiple of 62865 and 62872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62865 and 62872, than apply into the LCM equation.

GCF(62865,62872) = 1
LCM(62865,62872) = ( 62865 × 62872) / 1
LCM(62865,62872) = 3952448280 / 1
LCM(62865,62872) = 3952448280

Least Common Multiple (LCM) of 62865 and 62872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62865 and 62872. First we will calculate the prime factors of 62865 and 62872.

Prime Factorization of 62865

Prime factors of 62865 are 3, 5, 11, 127. Prime factorization of 62865 in exponential form is:

62865 = 32 × 51 × 111 × 1271

Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 23 × 291 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 62865 and 62872.

LCM(62865,62872) = 32 × 51 × 111 × 1271 × 23 × 291 × 2711
LCM(62865,62872) = 3952448280