What is the Least Common Multiple of 64648 and 64667?
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 64648 and 64667 is 4180592216.
LCM(64648,64667) = 4180592216
Least Common Multiple of 64648 and 64667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64648 and 64667, than apply into the LCM equation.
GCF(64648,64667) = 1
LCM(64648,64667) = ( 64648 × 64667) / 1
LCM(64648,64667) = 4180592216 / 1
LCM(64648,64667) = 4180592216
Least Common Multiple (LCM) of 64648 and 64667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64648 and 64667. First we will calculate the prime factors of 64648 and 64667.
Prime Factorization of 64648
Prime factors of 64648 are 2, 8081. Prime factorization of 64648 in exponential form is:
64648 = 23 × 80811
Prime Factorization of 64667
Prime factors of 64667 are 64667. Prime factorization of 64667 in exponential form is:
64667 = 646671
Now multiplying the highest exponent prime factors to calculate the LCM of 64648 and 64667.
LCM(64648,64667) = 23 × 80811 × 646671
LCM(64648,64667) = 4180592216
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