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What is the Least Common Multiple of 2954 and 2973?

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 2954 and 2973 is 8782242.

LCM(2954,2973) = 8782242

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Least Common Multiple of 2954 and 2973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2954 and 2973, than apply into the LCM equation.

GCF(2954,2973) = 1
LCM(2954,2973) = ( 2954 × 2973) / 1
LCM(2954,2973) = 8782242 / 1
LCM(2954,2973) = 8782242

Least Common Multiple (LCM) of 2954 and 2973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2954 and 2973. First we will calculate the prime factors of 2954 and 2973.

Prime Factorization of 2954

Prime factors of 2954 are 2, 7, 211. Prime factorization of 2954 in exponential form is:

2954 = 21 × 71 × 2111

Prime Factorization of 2973

Prime factors of 2973 are 3, 991. Prime factorization of 2973 in exponential form is:

2973 = 31 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 2954 and 2973.

LCM(2954,2973) = 21 × 71 × 2111 × 31 × 9911
LCM(2954,2973) = 8782242