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What is the Least Common Multiple of 18966 and 18972?

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 18966 and 18972 is 59970492.

LCM(18966,18972) = 59970492

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Least Common Multiple of 18966 and 18972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18966 and 18972, than apply into the LCM equation.

GCF(18966,18972) = 6
LCM(18966,18972) = ( 18966 × 18972) / 6
LCM(18966,18972) = 359822952 / 6
LCM(18966,18972) = 59970492

Least Common Multiple (LCM) of 18966 and 18972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18966 and 18972. First we will calculate the prime factors of 18966 and 18972.

Prime Factorization of 18966

Prime factors of 18966 are 2, 3, 29, 109. Prime factorization of 18966 in exponential form is:

18966 = 21 × 31 × 291 × 1091

Prime Factorization of 18972

Prime factors of 18972 are 2, 3, 17, 31. Prime factorization of 18972 in exponential form is:

18972 = 22 × 32 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18966 and 18972.

LCM(18966,18972) = 22 × 32 × 291 × 1091 × 171 × 311
LCM(18966,18972) = 59970492