What is the Least Common Multiple of 66410 and 66415?
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 66410 and 66415 is 882124030.
LCM(66410,66415) = 882124030
Least Common Multiple of 66410 and 66415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66410 and 66415, than apply into the LCM equation.
GCF(66410,66415) = 5
LCM(66410,66415) = ( 66410 × 66415) / 5
LCM(66410,66415) = 4410620150 / 5
LCM(66410,66415) = 882124030
Least Common Multiple (LCM) of 66410 and 66415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66410 and 66415. First we will calculate the prime factors of 66410 and 66415.
Prime Factorization of 66410
Prime factors of 66410 are 2, 5, 29, 229. Prime factorization of 66410 in exponential form is:
66410 = 21 × 51 × 291 × 2291
Prime Factorization of 66415
Prime factors of 66415 are 5, 37, 359. Prime factorization of 66415 in exponential form is:
66415 = 51 × 371 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 66410 and 66415.
LCM(66410,66415) = 21 × 51 × 291 × 2291 × 371 × 3591
LCM(66410,66415) = 882124030
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