What is the Least Common Multiple of 32063 and 32073?
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 32063 and 32073 is 1028356599.
LCM(32063,32073) = 1028356599
Least Common Multiple of 32063 and 32073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32063 and 32073, than apply into the LCM equation.
GCF(32063,32073) = 1
LCM(32063,32073) = ( 32063 × 32073) / 1
LCM(32063,32073) = 1028356599 / 1
LCM(32063,32073) = 1028356599
Least Common Multiple (LCM) of 32063 and 32073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32063 and 32073. First we will calculate the prime factors of 32063 and 32073.
Prime Factorization of 32063
Prime factors of 32063 are 32063. Prime factorization of 32063 in exponential form is:
32063 = 320631
Prime Factorization of 32073
Prime factors of 32073 are 3, 10691. Prime factorization of 32073 in exponential form is:
32073 = 31 × 106911
Now multiplying the highest exponent prime factors to calculate the LCM of 32063 and 32073.
LCM(32063,32073) = 320631 × 31 × 106911
LCM(32063,32073) = 1028356599
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