What is the Least Common Multiple of 64480 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 64480 and 64497 is 4158766560.
LCM(64480,64497) = 4158766560
Least Common Multiple of 64480 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 64480 and 64497, than apply into the LCM equation.
GCF(64480,64497) = 1
LCM(64480,64497) = ( 64480 × 64497) / 1
LCM(64480,64497) = 4158766560 / 1
LCM(64480,64497) = 4158766560
Least Common Multiple (LCM) of 64480 and 64497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64480 and 64497. First we will calculate the prime factors of 64480 and 64497.
Prime Factorization of 64480
Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:
64480 = 25 × 51 × 131 × 311
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 64480 and 64497.
LCM(64480,64497) = 25 × 51 × 131 × 311 × 31 × 214991
LCM(64480,64497) = 4158766560
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