What is the Least Common Multiple of 64489 and 64499?
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 64489 and 64499 is 4159476011.
LCM(64489,64499) = 4159476011
Least Common Multiple of 64489 and 64499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64489 and 64499, than apply into the LCM equation.
GCF(64489,64499) = 1
LCM(64489,64499) = ( 64489 × 64499) / 1
LCM(64489,64499) = 4159476011 / 1
LCM(64489,64499) = 4159476011
Least Common Multiple (LCM) of 64489 and 64499 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64489 and 64499. First we will calculate the prime factors of 64489 and 64499.
Prime Factorization of 64489
Prime factors of 64489 are 64489. Prime factorization of 64489 in exponential form is:
64489 = 644891
Prime Factorization of 64499
Prime factors of 64499 are 64499. Prime factorization of 64499 in exponential form is:
64499 = 644991
Now multiplying the highest exponent prime factors to calculate the LCM of 64489 and 64499.
LCM(64489,64499) = 644891 × 644991
LCM(64489,64499) = 4159476011
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