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What is the Least Common Multiple of 64245 and 64261?

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 64245 and 64261 is 4128447945.

LCM(64245,64261) = 4128447945

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Least Common Multiple of 64245 and 64261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64245 and 64261, than apply into the LCM equation.

GCF(64245,64261) = 1
LCM(64245,64261) = ( 64245 × 64261) / 1
LCM(64245,64261) = 4128447945 / 1
LCM(64245,64261) = 4128447945

Least Common Multiple (LCM) of 64245 and 64261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64245 and 64261. First we will calculate the prime factors of 64245 and 64261.

Prime Factorization of 64245

Prime factors of 64245 are 3, 5, 4283. Prime factorization of 64245 in exponential form is:

64245 = 31 × 51 × 42831

Prime Factorization of 64261

Prime factors of 64261 are 179, 359. Prime factorization of 64261 in exponential form is:

64261 = 1791 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 64245 and 64261.

LCM(64245,64261) = 31 × 51 × 42831 × 1791 × 3591
LCM(64245,64261) = 4128447945