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What is the Least Common Multiple of 64069 and 64078?

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 64069 and 64078 is 4105413382.

LCM(64069,64078) = 4105413382

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Least Common Multiple of 64069 and 64078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64069 and 64078, than apply into the LCM equation.

GCF(64069,64078) = 1
LCM(64069,64078) = ( 64069 × 64078) / 1
LCM(64069,64078) = 4105413382 / 1
LCM(64069,64078) = 4105413382

Least Common Multiple (LCM) of 64069 and 64078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64069 and 64078. First we will calculate the prime factors of 64069 and 64078.

Prime Factorization of 64069

Prime factors of 64069 are 79, 811. Prime factorization of 64069 in exponential form is:

64069 = 791 × 8111

Prime Factorization of 64078

Prime factors of 64078 are 2, 7, 23, 199. Prime factorization of 64078 in exponential form is:

64078 = 21 × 71 × 231 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 64069 and 64078.

LCM(64069,64078) = 791 × 8111 × 21 × 71 × 231 × 1991
LCM(64069,64078) = 4105413382