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What is the Least Common Multiple of 64095 and 64104?

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 64095 and 64104 is 1369581960.

LCM(64095,64104) = 1369581960

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Least Common Multiple of 64095 and 64104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64095 and 64104, than apply into the LCM equation.

GCF(64095,64104) = 3
LCM(64095,64104) = ( 64095 × 64104) / 3
LCM(64095,64104) = 4108745880 / 3
LCM(64095,64104) = 1369581960

Least Common Multiple (LCM) of 64095 and 64104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64095 and 64104. First we will calculate the prime factors of 64095 and 64104.

Prime Factorization of 64095

Prime factors of 64095 are 3, 5, 4273. Prime factorization of 64095 in exponential form is:

64095 = 31 × 51 × 42731

Prime Factorization of 64104

Prime factors of 64104 are 2, 3, 2671. Prime factorization of 64104 in exponential form is:

64104 = 23 × 31 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 64095 and 64104.

LCM(64095,64104) = 31 × 51 × 42731 × 23 × 26711
LCM(64095,64104) = 1369581960