What is the Least Common Multiple of 64497 and 64516?
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 64497 and 64516 is 4161088452.
LCM(64497,64516) = 4161088452
Least Common Multiple of 64497 and 64516 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64497 and 64516, than apply into the LCM equation.
GCF(64497,64516) = 1
LCM(64497,64516) = ( 64497 × 64516) / 1
LCM(64497,64516) = 4161088452 / 1
LCM(64497,64516) = 4161088452
Least Common Multiple (LCM) of 64497 and 64516 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64497 and 64516. First we will calculate the prime factors of 64497 and 64516.
Prime Factorization of 64497
Prime factors of 64497 are 3, 21499. Prime factorization of 64497 in exponential form is:
64497 = 31 × 214991
Prime Factorization of 64516
Prime factors of 64516 are 2, 127. Prime factorization of 64516 in exponential form is:
64516 = 22 × 1272
Now multiplying the highest exponent prime factors to calculate the LCM of 64497 and 64516.
LCM(64497,64516) = 31 × 214991 × 22 × 1272
LCM(64497,64516) = 4161088452
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