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What is the Least Common Multiple of 64249 and 64260?

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 64249 and 64260 is 4128640740.

LCM(64249,64260) = 4128640740

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Least Common Multiple of 64249 and 64260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64249 and 64260, than apply into the LCM equation.

GCF(64249,64260) = 1
LCM(64249,64260) = ( 64249 × 64260) / 1
LCM(64249,64260) = 4128640740 / 1
LCM(64249,64260) = 4128640740

Least Common Multiple (LCM) of 64249 and 64260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64249 and 64260. First we will calculate the prime factors of 64249 and 64260.

Prime Factorization of 64249

Prime factors of 64249 are 47, 1367. Prime factorization of 64249 in exponential form is:

64249 = 471 × 13671

Prime Factorization of 64260

Prime factors of 64260 are 2, 3, 5, 7, 17. Prime factorization of 64260 in exponential form is:

64260 = 22 × 33 × 51 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 64249 and 64260.

LCM(64249,64260) = 471 × 13671 × 22 × 33 × 51 × 71 × 171
LCM(64249,64260) = 4128640740