What is the Least Common Multiple of 32611 and 32622?
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 32611 and 32622 is 1063836042.
LCM(32611,32622) = 1063836042
Least Common Multiple of 32611 and 32622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32611 and 32622, than apply into the LCM equation.
GCF(32611,32622) = 1
LCM(32611,32622) = ( 32611 × 32622) / 1
LCM(32611,32622) = 1063836042 / 1
LCM(32611,32622) = 1063836042
Least Common Multiple (LCM) of 32611 and 32622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32611 and 32622. First we will calculate the prime factors of 32611 and 32622.
Prime Factorization of 32611
Prime factors of 32611 are 32611. Prime factorization of 32611 in exponential form is:
32611 = 326111
Prime Factorization of 32622
Prime factors of 32622 are 2, 3, 5437. Prime factorization of 32622 in exponential form is:
32622 = 21 × 31 × 54371
Now multiplying the highest exponent prime factors to calculate the LCM of 32611 and 32622.
LCM(32611,32622) = 326111 × 21 × 31 × 54371
LCM(32611,32622) = 1063836042
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