What is the Least Common Multiple of 32607 and 32612?
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 32612 is 1063379484.
LCM(32607,32612) = 1063379484
Least Common Multiple of 32607 and 32612 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 32612, than apply into the LCM equation.
GCF(32607,32612) = 1
LCM(32607,32612) = ( 32607 × 32612) / 1
LCM(32607,32612) = 1063379484 / 1
LCM(32607,32612) = 1063379484
Least Common Multiple (LCM) of 32607 and 32612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32607 and 32612. First we will calculate the prime factors of 32607 and 32612.
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 32612
Prime factors of 32612 are 2, 31, 263. Prime factorization of 32612 in exponential form is:
32612 = 22 × 311 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 32607 and 32612.
LCM(32607,32612) = 32 × 36231 × 22 × 311 × 2631
LCM(32607,32612) = 1063379484
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