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What is the Least Common Multiple of 10954 and 10973?

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 10954 and 10973 is 120198242.

LCM(10954,10973) = 120198242

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Least Common Multiple of 10954 and 10973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10954 and 10973, than apply into the LCM equation.

GCF(10954,10973) = 1
LCM(10954,10973) = ( 10954 × 10973) / 1
LCM(10954,10973) = 120198242 / 1
LCM(10954,10973) = 120198242

Least Common Multiple (LCM) of 10954 and 10973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10954 and 10973. First we will calculate the prime factors of 10954 and 10973.

Prime Factorization of 10954

Prime factors of 10954 are 2, 5477. Prime factorization of 10954 in exponential form is:

10954 = 21 × 54771

Prime Factorization of 10973

Prime factors of 10973 are 10973. Prime factorization of 10973 in exponential form is:

10973 = 109731

Now multiplying the highest exponent prime factors to calculate the LCM of 10954 and 10973.

LCM(10954,10973) = 21 × 54771 × 109731
LCM(10954,10973) = 120198242