What is the Least Common Multiple of 52207 and 52226?
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 52207 and 52226 is 2726562782.
LCM(52207,52226) = 2726562782
Least Common Multiple of 52207 and 52226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52207 and 52226, than apply into the LCM equation.
GCF(52207,52226) = 1
LCM(52207,52226) = ( 52207 × 52226) / 1
LCM(52207,52226) = 2726562782 / 1
LCM(52207,52226) = 2726562782
Least Common Multiple (LCM) of 52207 and 52226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52207 and 52226. First we will calculate the prime factors of 52207 and 52226.
Prime Factorization of 52207
Prime factors of 52207 are 17, 37, 83. Prime factorization of 52207 in exponential form is:
52207 = 171 × 371 × 831
Prime Factorization of 52226
Prime factors of 52226 are 2, 26113. Prime factorization of 52226 in exponential form is:
52226 = 21 × 261131
Now multiplying the highest exponent prime factors to calculate the LCM of 52207 and 52226.
LCM(52207,52226) = 171 × 371 × 831 × 21 × 261131
LCM(52207,52226) = 2726562782
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