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What is the Least Common Multiple of 62840 and 62847?

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 62840 and 62847 is 3949305480.

LCM(62840,62847) = 3949305480

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Least Common Multiple of 62840 and 62847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62840 and 62847, than apply into the LCM equation.

GCF(62840,62847) = 1
LCM(62840,62847) = ( 62840 × 62847) / 1
LCM(62840,62847) = 3949305480 / 1
LCM(62840,62847) = 3949305480

Least Common Multiple (LCM) of 62840 and 62847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62840 and 62847. First we will calculate the prime factors of 62840 and 62847.

Prime Factorization of 62840

Prime factors of 62840 are 2, 5, 1571. Prime factorization of 62840 in exponential form is:

62840 = 23 × 51 × 15711

Prime Factorization of 62847

Prime factors of 62847 are 3, 6983. Prime factorization of 62847 in exponential form is:

62847 = 32 × 69831

Now multiplying the highest exponent prime factors to calculate the LCM of 62840 and 62847.

LCM(62840,62847) = 23 × 51 × 15711 × 32 × 69831
LCM(62840,62847) = 3949305480