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What is the Least Common Multiple of 66928 and 66940?

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 66928 and 66940 is 1120040080.

LCM(66928,66940) = 1120040080

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Least Common Multiple of 66928 and 66940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66928 and 66940, than apply into the LCM equation.

GCF(66928,66940) = 4
LCM(66928,66940) = ( 66928 × 66940) / 4
LCM(66928,66940) = 4480160320 / 4
LCM(66928,66940) = 1120040080

Least Common Multiple (LCM) of 66928 and 66940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66928 and 66940. First we will calculate the prime factors of 66928 and 66940.

Prime Factorization of 66928

Prime factors of 66928 are 2, 47, 89. Prime factorization of 66928 in exponential form is:

66928 = 24 × 471 × 891

Prime Factorization of 66940

Prime factors of 66940 are 2, 5, 3347. Prime factorization of 66940 in exponential form is:

66940 = 22 × 51 × 33471

Now multiplying the highest exponent prime factors to calculate the LCM of 66928 and 66940.

LCM(66928,66940) = 24 × 471 × 891 × 51 × 33471
LCM(66928,66940) = 1120040080