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What is the Least Common Multiple of 2973 and 2993?

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 2973 and 2993 is 8898189.

LCM(2973,2993) = 8898189

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Least Common Multiple of 2973 and 2993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2973 and 2993, than apply into the LCM equation.

GCF(2973,2993) = 1
LCM(2973,2993) = ( 2973 × 2993) / 1
LCM(2973,2993) = 8898189 / 1
LCM(2973,2993) = 8898189

Least Common Multiple (LCM) of 2973 and 2993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2973 and 2993. First we will calculate the prime factors of 2973 and 2993.

Prime Factorization of 2973

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

2973 = 31 × 9911

Prime Factorization of 2993

Prime factors of 2993 are 41, 73. Prime factorization of 2993 in exponential form is:

2993 = 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 2973 and 2993.

LCM(2973,2993) = 31 × 9911 × 411 × 731
LCM(2973,2993) = 8898189