What is the Least Common Multiple of 64484 and 64497?
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 64484 and 64497 is 4159024548.
LCM(64484,64497) = 4159024548
Least Common Multiple of 64484 and 64497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64484 and 64497, than apply into the LCM equation.
GCF(64484,64497) = 1
LCM(64484,64497) = ( 64484 × 64497) / 1
LCM(64484,64497) = 4159024548 / 1
LCM(64484,64497) = 4159024548
Least Common Multiple (LCM) of 64484 and 64497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64484 and 64497. First we will calculate the prime factors of 64484 and 64497.
Prime Factorization of 64484
Prime factors of 64484 are 2, 7, 47. Prime factorization of 64484 in exponential form is:
64484 = 22 × 73 × 471
Prime Factorization of 64497
Prime factors of 64497 are 3, 21499. Prime factorization of 64497 in exponential form is:
64497 = 31 × 214991
Now multiplying the highest exponent prime factors to calculate the LCM of 64484 and 64497.
LCM(64484,64497) = 22 × 73 × 471 × 31 × 214991
LCM(64484,64497) = 4159024548
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