What is the Least Common Multiple of 64210 and 64227?
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 64210 and 64227 is 4124015670.
LCM(64210,64227) = 4124015670
Least Common Multiple of 64210 and 64227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64210 and 64227, than apply into the LCM equation.
GCF(64210,64227) = 1
LCM(64210,64227) = ( 64210 × 64227) / 1
LCM(64210,64227) = 4124015670 / 1
LCM(64210,64227) = 4124015670
Least Common Multiple (LCM) of 64210 and 64227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64210 and 64227. First we will calculate the prime factors of 64210 and 64227.
Prime Factorization of 64210
Prime factors of 64210 are 2, 5, 6421. Prime factorization of 64210 in exponential form is:
64210 = 21 × 51 × 64211
Prime Factorization of 64227
Prime factors of 64227 are 3, 79, 271. Prime factorization of 64227 in exponential form is:
64227 = 31 × 791 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 64210 and 64227.
LCM(64210,64227) = 21 × 51 × 64211 × 31 × 791 × 2711
LCM(64210,64227) = 4124015670
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