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What is the Least Common Multiple of 30902 and 30911?

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 30902 and 30911 is 955211722.

LCM(30902,30911) = 955211722

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Least Common Multiple of 30902 and 30911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30902 and 30911, than apply into the LCM equation.

GCF(30902,30911) = 1
LCM(30902,30911) = ( 30902 × 30911) / 1
LCM(30902,30911) = 955211722 / 1
LCM(30902,30911) = 955211722

Least Common Multiple (LCM) of 30902 and 30911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30902 and 30911. First we will calculate the prime factors of 30902 and 30911.

Prime Factorization of 30902

Prime factors of 30902 are 2, 15451. Prime factorization of 30902 in exponential form is:

30902 = 21 × 154511

Prime Factorization of 30911

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

30911 = 309111

Now multiplying the highest exponent prime factors to calculate the LCM of 30902 and 30911.

LCM(30902,30911) = 21 × 154511 × 309111
LCM(30902,30911) = 955211722