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What is the Least Common Multiple of 30929 and 30936?

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 30929 and 30936 is 956819544.

LCM(30929,30936) = 956819544

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Least Common Multiple of 30929 and 30936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30929 and 30936, than apply into the LCM equation.

GCF(30929,30936) = 1
LCM(30929,30936) = ( 30929 × 30936) / 1
LCM(30929,30936) = 956819544 / 1
LCM(30929,30936) = 956819544

Least Common Multiple (LCM) of 30929 and 30936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30929 and 30936. First we will calculate the prime factors of 30929 and 30936.

Prime Factorization of 30929

Prime factors of 30929 are 157, 197. Prime factorization of 30929 in exponential form is:

30929 = 1571 × 1971

Prime Factorization of 30936

Prime factors of 30936 are 2, 3, 1289. Prime factorization of 30936 in exponential form is:

30936 = 23 × 31 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 30929 and 30936.

LCM(30929,30936) = 1571 × 1971 × 23 × 31 × 12891
LCM(30929,30936) = 956819544