What is the Least Common Multiple of 66928 and 66937?
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 66937 is 4479959536.
LCM(66928,66937) = 4479959536
Least Common Multiple of 66928 and 66937 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 66937, than apply into the LCM equation.
GCF(66928,66937) = 1
LCM(66928,66937) = ( 66928 × 66937) / 1
LCM(66928,66937) = 4479959536 / 1
LCM(66928,66937) = 4479959536
Least Common Multiple (LCM) of 66928 and 66937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66928 and 66937. First we will calculate the prime factors of 66928 and 66937.
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 66937
Prime factors of 66937 are 13, 19, 271. Prime factorization of 66937 in exponential form is:
66937 = 131 × 191 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 66928 and 66937.
LCM(66928,66937) = 24 × 471 × 891 × 131 × 191 × 2711
LCM(66928,66937) = 4479959536
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