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What is the Least Common Multiple of 64090 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 64090 and 64104 is 2054212680.

LCM(64090,64104) = 2054212680

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Least Common Multiple of 64090 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 64090 and 64104, than apply into the LCM equation.

GCF(64090,64104) = 2
LCM(64090,64104) = ( 64090 × 64104) / 2
LCM(64090,64104) = 4108425360 / 2
LCM(64090,64104) = 2054212680

Least Common Multiple (LCM) of 64090 and 64104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64090 and 64104. First we will calculate the prime factors of 64090 and 64104.

Prime Factorization of 64090

Prime factors of 64090 are 2, 5, 13, 17, 29. Prime factorization of 64090 in exponential form is:

64090 = 21 × 51 × 131 × 171 × 291

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 64090 and 64104.

LCM(64090,64104) = 23 × 51 × 131 × 171 × 291 × 31 × 26711
LCM(64090,64104) = 2054212680