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What is the Least Common Multiple of 1164 and 1172?

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 1164 and 1172 is 341052.

LCM(1164,1172) = 341052

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Least Common Multiple of 1164 and 1172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1164 and 1172, than apply into the LCM equation.

GCF(1164,1172) = 4
LCM(1164,1172) = ( 1164 × 1172) / 4
LCM(1164,1172) = 1364208 / 4
LCM(1164,1172) = 341052

Least Common Multiple (LCM) of 1164 and 1172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1164 and 1172. First we will calculate the prime factors of 1164 and 1172.

Prime Factorization of 1164

Prime factors of 1164 are 2, 3, 97. Prime factorization of 1164 in exponential form is:

1164 = 22 × 31 × 971

Prime Factorization of 1172

Prime factors of 1172 are 2, 293. Prime factorization of 1172 in exponential form is:

1172 = 22 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 1164 and 1172.

LCM(1164,1172) = 22 × 31 × 971 × 2931
LCM(1164,1172) = 341052