What is the Least Common Multiple of 32607 and 32611?
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 32607 and 32611 is 1063346877.
LCM(32607,32611) = 1063346877
Least Common Multiple of 32607 and 32611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32607 and 32611, than apply into the LCM equation.
GCF(32607,32611) = 1
LCM(32607,32611) = ( 32607 × 32611) / 1
LCM(32607,32611) = 1063346877 / 1
LCM(32607,32611) = 1063346877
Least Common Multiple (LCM) of 32607 and 32611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32607 and 32611. First we will calculate the prime factors of 32607 and 32611.
Prime Factorization of 32607
Prime factors of 32607 are 3, 3623. Prime factorization of 32607 in exponential form is:
32607 = 32 × 36231
Prime Factorization of 32611
Prime factors of 32611 are 32611. Prime factorization of 32611 in exponential form is:
32611 = 326111
Now multiplying the highest exponent prime factors to calculate the LCM of 32607 and 32611.
LCM(32607,32611) = 32 × 36231 × 326111
LCM(32607,32611) = 1063346877
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