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What is the Least Common Multiple of 64766 and 64773?

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 64766 and 64773 is 4195088118.

LCM(64766,64773) = 4195088118

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Least Common Multiple of 64766 and 64773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64766 and 64773, than apply into the LCM equation.

GCF(64766,64773) = 1
LCM(64766,64773) = ( 64766 × 64773) / 1
LCM(64766,64773) = 4195088118 / 1
LCM(64766,64773) = 4195088118

Least Common Multiple (LCM) of 64766 and 64773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64766 and 64773. First we will calculate the prime factors of 64766 and 64773.

Prime Factorization of 64766

Prime factors of 64766 are 2, 13, 47, 53. Prime factorization of 64766 in exponential form is:

64766 = 21 × 131 × 471 × 531

Prime Factorization of 64773

Prime factors of 64773 are 3, 2399. Prime factorization of 64773 in exponential form is:

64773 = 33 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 64766 and 64773.

LCM(64766,64773) = 21 × 131 × 471 × 531 × 33 × 23991
LCM(64766,64773) = 4195088118