What is the Least Common Multiple of 32129 and 32137?
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 32129 and 32137 is 1032529673.
LCM(32129,32137) = 1032529673
Least Common Multiple of 32129 and 32137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32129 and 32137, than apply into the LCM equation.
GCF(32129,32137) = 1
LCM(32129,32137) = ( 32129 × 32137) / 1
LCM(32129,32137) = 1032529673 / 1
LCM(32129,32137) = 1032529673
Least Common Multiple (LCM) of 32129 and 32137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32129 and 32137. First we will calculate the prime factors of 32129 and 32137.
Prime Factorization of 32129
Prime factors of 32129 are 19, 89. Prime factorization of 32129 in exponential form is:
32129 = 192 × 891
Prime Factorization of 32137
Prime factors of 32137 are 7, 4591. Prime factorization of 32137 in exponential form is:
32137 = 71 × 45911
Now multiplying the highest exponent prime factors to calculate the LCM of 32129 and 32137.
LCM(32129,32137) = 192 × 891 × 71 × 45911
LCM(32129,32137) = 1032529673
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