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What is the Least Common Multiple of 62923 and 62934?

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 62923 and 62934 is 3959996082.

LCM(62923,62934) = 3959996082

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Least Common Multiple of 62923 and 62934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62923 and 62934, than apply into the LCM equation.

GCF(62923,62934) = 1
LCM(62923,62934) = ( 62923 × 62934) / 1
LCM(62923,62934) = 3959996082 / 1
LCM(62923,62934) = 3959996082

Least Common Multiple (LCM) of 62923 and 62934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62923 and 62934. First we will calculate the prime factors of 62923 and 62934.

Prime Factorization of 62923

Prime factors of 62923 are 7, 89, 101. Prime factorization of 62923 in exponential form is:

62923 = 71 × 891 × 1011

Prime Factorization of 62934

Prime factors of 62934 are 2, 3, 17, 617. Prime factorization of 62934 in exponential form is:

62934 = 21 × 31 × 171 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 62923 and 62934.

LCM(62923,62934) = 71 × 891 × 1011 × 21 × 31 × 171 × 6171
LCM(62923,62934) = 3959996082