What is the Least Common Multiple of 32046 and 32051?
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 32046 and 32051 is 1027106346.
LCM(32046,32051) = 1027106346
Least Common Multiple of 32046 and 32051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32046 and 32051, than apply into the LCM equation.
GCF(32046,32051) = 1
LCM(32046,32051) = ( 32046 × 32051) / 1
LCM(32046,32051) = 1027106346 / 1
LCM(32046,32051) = 1027106346
Least Common Multiple (LCM) of 32046 and 32051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32046 and 32051. First we will calculate the prime factors of 32046 and 32051.
Prime Factorization of 32046
Prime factors of 32046 are 2, 3, 7, 109. Prime factorization of 32046 in exponential form is:
32046 = 21 × 31 × 72 × 1091
Prime Factorization of 32051
Prime factors of 32051 are 32051. Prime factorization of 32051 in exponential form is:
32051 = 320511
Now multiplying the highest exponent prime factors to calculate the LCM of 32046 and 32051.
LCM(32046,32051) = 21 × 31 × 72 × 1091 × 320511
LCM(32046,32051) = 1027106346
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