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What is the Least Common Multiple of 62830 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 62830 and 62840 is 394823720.

LCM(62830,62840) = 394823720

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Least Common Multiple of 62830 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 62830 and 62840, than apply into the LCM equation.

GCF(62830,62840) = 10
LCM(62830,62840) = ( 62830 × 62840) / 10
LCM(62830,62840) = 3948237200 / 10
LCM(62830,62840) = 394823720

Least Common Multiple (LCM) of 62830 and 62840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62830 and 62840. First we will calculate the prime factors of 62830 and 62840.

Prime Factorization of 62830

Prime factors of 62830 are 2, 5, 61, 103. Prime factorization of 62830 in exponential form is:

62830 = 21 × 51 × 611 × 1031

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 62830 and 62840.

LCM(62830,62840) = 23 × 51 × 611 × 1031 × 15711
LCM(62830,62840) = 394823720