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What is the Least Common Multiple of 62930 and 62941?

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 62930 and 62941 is 3960877130.

LCM(62930,62941) = 3960877130

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Least Common Multiple of 62930 and 62941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62930 and 62941, than apply into the LCM equation.

GCF(62930,62941) = 1
LCM(62930,62941) = ( 62930 × 62941) / 1
LCM(62930,62941) = 3960877130 / 1
LCM(62930,62941) = 3960877130

Least Common Multiple (LCM) of 62930 and 62941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62930 and 62941. First we will calculate the prime factors of 62930 and 62941.

Prime Factorization of 62930

Prime factors of 62930 are 2, 5, 7, 29, 31. Prime factorization of 62930 in exponential form is:

62930 = 21 × 51 × 71 × 291 × 311

Prime Factorization of 62941

Prime factors of 62941 are 113, 557. Prime factorization of 62941 in exponential form is:

62941 = 1131 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 62930 and 62941.

LCM(62930,62941) = 21 × 51 × 71 × 291 × 311 × 1131 × 5571
LCM(62930,62941) = 3960877130