What is the Least Common Multiple of 3427 and 3445?
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 3427 and 3445 is 11806015.
LCM(3427,3445) = 11806015
Least Common Multiple of 3427 and 3445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3427 and 3445, than apply into the LCM equation.
GCF(3427,3445) = 1
LCM(3427,3445) = ( 3427 × 3445) / 1
LCM(3427,3445) = 11806015 / 1
LCM(3427,3445) = 11806015
Least Common Multiple (LCM) of 3427 and 3445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3427 and 3445. First we will calculate the prime factors of 3427 and 3445.
Prime Factorization of 3427
Prime factors of 3427 are 23, 149. Prime factorization of 3427 in exponential form is:
3427 = 231 × 1491
Prime Factorization of 3445
Prime factors of 3445 are 5, 13, 53. Prime factorization of 3445 in exponential form is:
3445 = 51 × 131 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 3427 and 3445.
LCM(3427,3445) = 231 × 1491 × 51 × 131 × 531
LCM(3427,3445) = 11806015
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Related Least Common Multiples of 3445
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