What is the Least Common Multiple of 28194 and 28201?
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 28194 and 28201 is 795098994.
LCM(28194,28201) = 795098994
Least Common Multiple of 28194 and 28201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28194 and 28201, than apply into the LCM equation.
GCF(28194,28201) = 1
LCM(28194,28201) = ( 28194 × 28201) / 1
LCM(28194,28201) = 795098994 / 1
LCM(28194,28201) = 795098994
Least Common Multiple (LCM) of 28194 and 28201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28194 and 28201. First we will calculate the prime factors of 28194 and 28201.
Prime Factorization of 28194
Prime factors of 28194 are 2, 3, 37, 127. Prime factorization of 28194 in exponential form is:
28194 = 21 × 31 × 371 × 1271
Prime Factorization of 28201
Prime factors of 28201 are 28201. Prime factorization of 28201 in exponential form is:
28201 = 282011
Now multiplying the highest exponent prime factors to calculate the LCM of 28194 and 28201.
LCM(28194,28201) = 21 × 31 × 371 × 1271 × 282011
LCM(28194,28201) = 795098994
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