What is the Least Common Multiple of 20602 and 20611?
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 20602 and 20611 is 424627822.
LCM(20602,20611) = 424627822
Least Common Multiple of 20602 and 20611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20602 and 20611, than apply into the LCM equation.
GCF(20602,20611) = 1
LCM(20602,20611) = ( 20602 × 20611) / 1
LCM(20602,20611) = 424627822 / 1
LCM(20602,20611) = 424627822
Least Common Multiple (LCM) of 20602 and 20611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20602 and 20611. First we will calculate the prime factors of 20602 and 20611.
Prime Factorization of 20602
Prime factors of 20602 are 2, 10301. Prime factorization of 20602 in exponential form is:
20602 = 21 × 103011
Prime Factorization of 20611
Prime factors of 20611 are 20611. Prime factorization of 20611 in exponential form is:
20611 = 206111
Now multiplying the highest exponent prime factors to calculate the LCM of 20602 and 20611.
LCM(20602,20611) = 21 × 103011 × 206111
LCM(20602,20611) = 424627822
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