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What is the Least Common Multiple of 30109 and 30113?

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 30109 and 30113 is 906672317.

LCM(30109,30113) = 906672317

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Least Common Multiple of 30109 and 30113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30109 and 30113, than apply into the LCM equation.

GCF(30109,30113) = 1
LCM(30109,30113) = ( 30109 × 30113) / 1
LCM(30109,30113) = 906672317 / 1
LCM(30109,30113) = 906672317

Least Common Multiple (LCM) of 30109 and 30113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30109 and 30113. First we will calculate the prime factors of 30109 and 30113.

Prime Factorization of 30109

Prime factors of 30109 are 30109. Prime factorization of 30109 in exponential form is:

30109 = 301091

Prime Factorization of 30113

Prime factors of 30113 are 30113. Prime factorization of 30113 in exponential form is:

30113 = 301131

Now multiplying the highest exponent prime factors to calculate the LCM of 30109 and 30113.

LCM(30109,30113) = 301091 × 301131
LCM(30109,30113) = 906672317