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What is the Least Common Multiple of 954 and 974?

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 954 and 974 is 464598.

LCM(954,974) = 464598

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Least Common Multiple of 954 and 974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 954 and 974, than apply into the LCM equation.

GCF(954,974) = 2
LCM(954,974) = ( 954 × 974) / 2
LCM(954,974) = 929196 / 2
LCM(954,974) = 464598

Least Common Multiple (LCM) of 954 and 974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 974. First we will calculate the prime factors of 954 and 974.

Prime Factorization of 954

Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:

954 = 21 × 32 × 531

Prime Factorization of 974

Prime factors of 974 are 2, 487. Prime factorization of 974 in exponential form is:

974 = 21 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 974.

LCM(954,974) = 21 × 32 × 531 × 4871
LCM(954,974) = 464598