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What is the Least Common Multiple of 64068 and 64077?

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 64068 and 64077 is 1368428412.

LCM(64068,64077) = 1368428412

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Least Common Multiple of 64068 and 64077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64068 and 64077, than apply into the LCM equation.

GCF(64068,64077) = 3
LCM(64068,64077) = ( 64068 × 64077) / 3
LCM(64068,64077) = 4105285236 / 3
LCM(64068,64077) = 1368428412

Least Common Multiple (LCM) of 64068 and 64077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64068 and 64077. First we will calculate the prime factors of 64068 and 64077.

Prime Factorization of 64068

Prime factors of 64068 are 2, 3, 19, 281. Prime factorization of 64068 in exponential form is:

64068 = 22 × 31 × 191 × 2811

Prime Factorization of 64077

Prime factors of 64077 are 3, 13, 31, 53. Prime factorization of 64077 in exponential form is:

64077 = 31 × 131 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 64068 and 64077.

LCM(64068,64077) = 22 × 31 × 191 × 2811 × 131 × 311 × 531
LCM(64068,64077) = 1368428412