What is the Least Common Multiple of 64613 and 64622?
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 64613 and 64622 is 4175421286.
LCM(64613,64622) = 4175421286
Least Common Multiple of 64613 and 64622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64613 and 64622, than apply into the LCM equation.
GCF(64613,64622) = 1
LCM(64613,64622) = ( 64613 × 64622) / 1
LCM(64613,64622) = 4175421286 / 1
LCM(64613,64622) = 4175421286
Least Common Multiple (LCM) of 64613 and 64622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64613 and 64622. First we will calculate the prime factors of 64613 and 64622.
Prime Factorization of 64613
Prime factors of 64613 are 64613. Prime factorization of 64613 in exponential form is:
64613 = 646131
Prime Factorization of 64622
Prime factors of 64622 are 2, 79, 409. Prime factorization of 64622 in exponential form is:
64622 = 21 × 791 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 64613 and 64622.
LCM(64613,64622) = 646131 × 21 × 791 × 4091
LCM(64613,64622) = 4175421286
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