What is the Least Common Multiple of 64392 and 64406?
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 64392 and 64406 is 2073615576.
LCM(64392,64406) = 2073615576
Least Common Multiple of 64392 and 64406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64392 and 64406, than apply into the LCM equation.
GCF(64392,64406) = 2
LCM(64392,64406) = ( 64392 × 64406) / 2
LCM(64392,64406) = 4147231152 / 2
LCM(64392,64406) = 2073615576
Least Common Multiple (LCM) of 64392 and 64406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64392 and 64406. First we will calculate the prime factors of 64392 and 64406.
Prime Factorization of 64392
Prime factors of 64392 are 2, 3, 2683. Prime factorization of 64392 in exponential form is:
64392 = 23 × 31 × 26831
Prime Factorization of 64406
Prime factors of 64406 are 2, 32203. Prime factorization of 64406 in exponential form is:
64406 = 21 × 322031
Now multiplying the highest exponent prime factors to calculate the LCM of 64392 and 64406.
LCM(64392,64406) = 23 × 31 × 26831 × 322031
LCM(64392,64406) = 2073615576
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