What is the Least Common Multiple of 66411 and 66428?
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 66411 and 66428 is 4411549908.
LCM(66411,66428) = 4411549908
Least Common Multiple of 66411 and 66428 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66411 and 66428, than apply into the LCM equation.
GCF(66411,66428) = 1
LCM(66411,66428) = ( 66411 × 66428) / 1
LCM(66411,66428) = 4411549908 / 1
LCM(66411,66428) = 4411549908
Least Common Multiple (LCM) of 66411 and 66428 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66411 and 66428. First we will calculate the prime factors of 66411 and 66428.
Prime Factorization of 66411
Prime factors of 66411 are 3, 47, 157. Prime factorization of 66411 in exponential form is:
66411 = 32 × 471 × 1571
Prime Factorization of 66428
Prime factors of 66428 are 2, 16607. Prime factorization of 66428 in exponential form is:
66428 = 22 × 166071
Now multiplying the highest exponent prime factors to calculate the LCM of 66411 and 66428.
LCM(66411,66428) = 32 × 471 × 1571 × 22 × 166071
LCM(66411,66428) = 4411549908
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