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What is the Least Common Multiple of 10973 and 10993?

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 10973 and 10993 is 120626189.

LCM(10973,10993) = 120626189

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Least Common Multiple of 10973 and 10993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10973 and 10993, than apply into the LCM equation.

GCF(10973,10993) = 1
LCM(10973,10993) = ( 10973 × 10993) / 1
LCM(10973,10993) = 120626189 / 1
LCM(10973,10993) = 120626189

Least Common Multiple (LCM) of 10973 and 10993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10973 and 10993. First we will calculate the prime factors of 10973 and 10993.

Prime Factorization of 10973

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

10973 = 109731

Prime Factorization of 10993

Prime factors of 10993 are 10993. Prime factorization of 10993 in exponential form is:

10993 = 109931

Now multiplying the highest exponent prime factors to calculate the LCM of 10973 and 10993.

LCM(10973,10993) = 109731 × 109931
LCM(10973,10993) = 120626189