What is the Least Common Multiple of 64158 and 64177?
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 64158 and 64177 is 4117467966.
LCM(64158,64177) = 4117467966
Least Common Multiple of 64158 and 64177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64158 and 64177, than apply into the LCM equation.
GCF(64158,64177) = 1
LCM(64158,64177) = ( 64158 × 64177) / 1
LCM(64158,64177) = 4117467966 / 1
LCM(64158,64177) = 4117467966
Least Common Multiple (LCM) of 64158 and 64177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64158 and 64177. First we will calculate the prime factors of 64158 and 64177.
Prime Factorization of 64158
Prime factors of 64158 are 2, 3, 17, 37. Prime factorization of 64158 in exponential form is:
64158 = 21 × 31 × 172 × 371
Prime Factorization of 64177
Prime factors of 64177 are 29, 2213. Prime factorization of 64177 in exponential form is:
64177 = 291 × 22131
Now multiplying the highest exponent prime factors to calculate the LCM of 64158 and 64177.
LCM(64158,64177) = 21 × 31 × 172 × 371 × 291 × 22131
LCM(64158,64177) = 4117467966
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