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What is the Least Common Multiple of 64066 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 64066 and 64078 is 2052610574.

LCM(64066,64078) = 2052610574

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Least Common Multiple of 64066 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 64066 and 64078, than apply into the LCM equation.

GCF(64066,64078) = 2
LCM(64066,64078) = ( 64066 × 64078) / 2
LCM(64066,64078) = 4105221148 / 2
LCM(64066,64078) = 2052610574

Least Common Multiple (LCM) of 64066 and 64078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64066 and 64078. First we will calculate the prime factors of 64066 and 64078.

Prime Factorization of 64066

Prime factors of 64066 are 2, 103, 311. Prime factorization of 64066 in exponential form is:

64066 = 21 × 1031 × 3111

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 64066 and 64078.

LCM(64066,64078) = 21 × 1031 × 3111 × 71 × 231 × 1991
LCM(64066,64078) = 2052610574