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What is the Least Common Multiple of 64146 and 64155?

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 64146 and 64155 is 1371762210.

LCM(64146,64155) = 1371762210

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Least Common Multiple of 64146 and 64155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64146 and 64155, than apply into the LCM equation.

GCF(64146,64155) = 3
LCM(64146,64155) = ( 64146 × 64155) / 3
LCM(64146,64155) = 4115286630 / 3
LCM(64146,64155) = 1371762210

Least Common Multiple (LCM) of 64146 and 64155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64146 and 64155. First we will calculate the prime factors of 64146 and 64155.

Prime Factorization of 64146

Prime factors of 64146 are 2, 3, 10691. Prime factorization of 64146 in exponential form is:

64146 = 21 × 31 × 106911

Prime Factorization of 64155

Prime factors of 64155 are 3, 5, 7, 13, 47. Prime factorization of 64155 in exponential form is:

64155 = 31 × 51 × 71 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64146 and 64155.

LCM(64146,64155) = 21 × 31 × 106911 × 51 × 71 × 131 × 471
LCM(64146,64155) = 1371762210