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What is the Least Common Multiple of 918 and 922?

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 918 and 922 is 423198.

LCM(918,922) = 423198

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Least Common Multiple of 918 and 922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 918 and 922, than apply into the LCM equation.

GCF(918,922) = 2
LCM(918,922) = ( 918 × 922) / 2
LCM(918,922) = 846396 / 2
LCM(918,922) = 423198

Least Common Multiple (LCM) of 918 and 922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 922. First we will calculate the prime factors of 918 and 922.

Prime Factorization of 918

Prime factors of 918 are 2, 3, 17. Prime factorization of 918 in exponential form is:

918 = 21 × 33 × 171

Prime Factorization of 922

Prime factors of 922 are 2, 461. Prime factorization of 922 in exponential form is:

922 = 21 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 918 and 922.

LCM(918,922) = 21 × 33 × 171 × 4611
LCM(918,922) = 423198