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What is the Least Common Multiple of 30113 and 30118?

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 30113 and 30118 is 906943334.

LCM(30113,30118) = 906943334

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Least Common Multiple of 30113 and 30118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30113 and 30118, than apply into the LCM equation.

GCF(30113,30118) = 1
LCM(30113,30118) = ( 30113 × 30118) / 1
LCM(30113,30118) = 906943334 / 1
LCM(30113,30118) = 906943334

Least Common Multiple (LCM) of 30113 and 30118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30113 and 30118. First we will calculate the prime factors of 30113 and 30118.

Prime Factorization of 30113

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

30113 = 301131

Prime Factorization of 30118

Prime factors of 30118 are 2, 11, 37. Prime factorization of 30118 in exponential form is:

30118 = 21 × 111 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 30113 and 30118.

LCM(30113,30118) = 301131 × 21 × 111 × 372
LCM(30113,30118) = 906943334