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What is the Least Common Multiple of 30911 and 30920?

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 30911 and 30920 is 955768120.

LCM(30911,30920) = 955768120

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Least Common Multiple of 30911 and 30920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30911 and 30920, than apply into the LCM equation.

GCF(30911,30920) = 1
LCM(30911,30920) = ( 30911 × 30920) / 1
LCM(30911,30920) = 955768120 / 1
LCM(30911,30920) = 955768120

Least Common Multiple (LCM) of 30911 and 30920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30911 and 30920. First we will calculate the prime factors of 30911 and 30920.

Prime Factorization of 30911

Prime factors of 30911 are 30911. Prime factorization of 30911 in exponential form is:

30911 = 309111

Prime Factorization of 30920

Prime factors of 30920 are 2, 5, 773. Prime factorization of 30920 in exponential form is:

30920 = 23 × 51 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 30911 and 30920.

LCM(30911,30920) = 309111 × 23 × 51 × 7731
LCM(30911,30920) = 955768120