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What is the Least Common Multiple of 62833 and 62840?

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 62833 and 62840 is 3948425720.

LCM(62833,62840) = 3948425720

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Least Common Multiple of 62833 and 62840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62833 and 62840, than apply into the LCM equation.

GCF(62833,62840) = 1
LCM(62833,62840) = ( 62833 × 62840) / 1
LCM(62833,62840) = 3948425720 / 1
LCM(62833,62840) = 3948425720

Least Common Multiple (LCM) of 62833 and 62840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62833 and 62840. First we will calculate the prime factors of 62833 and 62840.

Prime Factorization of 62833

Prime factors of 62833 are 19, 3307. Prime factorization of 62833 in exponential form is:

62833 = 191 × 33071

Prime Factorization of 62840

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

62840 = 23 × 51 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 62833 and 62840.

LCM(62833,62840) = 191 × 33071 × 23 × 51 × 15711
LCM(62833,62840) = 3948425720