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What is the Least Common Multiple of 23181 and 23197?

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 23181 and 23197 is 537729657.

LCM(23181,23197) = 537729657

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Least Common Multiple of 23181 and 23197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23181 and 23197, than apply into the LCM equation.

GCF(23181,23197) = 1
LCM(23181,23197) = ( 23181 × 23197) / 1
LCM(23181,23197) = 537729657 / 1
LCM(23181,23197) = 537729657

Least Common Multiple (LCM) of 23181 and 23197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23181 and 23197. First we will calculate the prime factors of 23181 and 23197.

Prime Factorization of 23181

Prime factors of 23181 are 3, 7727. Prime factorization of 23181 in exponential form is:

23181 = 31 × 77271

Prime Factorization of 23197

Prime factors of 23197 are 23197. Prime factorization of 23197 in exponential form is:

23197 = 231971

Now multiplying the highest exponent prime factors to calculate the LCM of 23181 and 23197.

LCM(23181,23197) = 31 × 77271 × 231971
LCM(23181,23197) = 537729657