What is the Least Common Multiple of 64537 and 64553?
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 64537 and 64553 is 4166056961.
LCM(64537,64553) = 4166056961
Least Common Multiple of 64537 and 64553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64537 and 64553, than apply into the LCM equation.
GCF(64537,64553) = 1
LCM(64537,64553) = ( 64537 × 64553) / 1
LCM(64537,64553) = 4166056961 / 1
LCM(64537,64553) = 4166056961
Least Common Multiple (LCM) of 64537 and 64553 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64537 and 64553. First we will calculate the prime factors of 64537 and 64553.
Prime Factorization of 64537
Prime factors of 64537 are 11, 5867. Prime factorization of 64537 in exponential form is:
64537 = 111 × 58671
Prime Factorization of 64553
Prime factors of 64553 are 64553. Prime factorization of 64553 in exponential form is:
64553 = 645531
Now multiplying the highest exponent prime factors to calculate the LCM of 64537 and 64553.
LCM(64537,64553) = 111 × 58671 × 645531
LCM(64537,64553) = 4166056961
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