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What is the Least Common Multiple of 9918 and 9938?

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 9918 and 9938 is 49282542.

LCM(9918,9938) = 49282542

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Least Common Multiple of 9918 and 9938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9918 and 9938, than apply into the LCM equation.

GCF(9918,9938) = 2
LCM(9918,9938) = ( 9918 × 9938) / 2
LCM(9918,9938) = 98565084 / 2
LCM(9918,9938) = 49282542

Least Common Multiple (LCM) of 9918 and 9938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9918 and 9938. First we will calculate the prime factors of 9918 and 9938.

Prime Factorization of 9918

Prime factors of 9918 are 2, 3, 19, 29. Prime factorization of 9918 in exponential form is:

9918 = 21 × 32 × 191 × 291

Prime Factorization of 9938

Prime factors of 9938 are 2, 4969. Prime factorization of 9938 in exponential form is:

9938 = 21 × 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 9918 and 9938.

LCM(9918,9938) = 21 × 32 × 191 × 291 × 49691
LCM(9918,9938) = 49282542