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What is the Least Common Multiple of 10918 and 10922?

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 10918 and 10922 is 59623198.

LCM(10918,10922) = 59623198

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Least Common Multiple of 10918 and 10922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10918 and 10922, than apply into the LCM equation.

GCF(10918,10922) = 2
LCM(10918,10922) = ( 10918 × 10922) / 2
LCM(10918,10922) = 119246396 / 2
LCM(10918,10922) = 59623198

Least Common Multiple (LCM) of 10918 and 10922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10918 and 10922. First we will calculate the prime factors of 10918 and 10922.

Prime Factorization of 10918

Prime factors of 10918 are 2, 53, 103. Prime factorization of 10918 in exponential form is:

10918 = 21 × 531 × 1031

Prime Factorization of 10922

Prime factors of 10922 are 2, 43, 127. Prime factorization of 10922 in exponential form is:

10922 = 21 × 431 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10918 and 10922.

LCM(10918,10922) = 21 × 531 × 1031 × 431 × 1271
LCM(10918,10922) = 59623198