What is the Least Common Multiple of 22367 and 22371?
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 22367 and 22371 is 500372157.
LCM(22367,22371) = 500372157
Least Common Multiple of 22367 and 22371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22367 and 22371, than apply into the LCM equation.
GCF(22367,22371) = 1
LCM(22367,22371) = ( 22367 × 22371) / 1
LCM(22367,22371) = 500372157 / 1
LCM(22367,22371) = 500372157
Least Common Multiple (LCM) of 22367 and 22371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22367 and 22371. First we will calculate the prime factors of 22367 and 22371.
Prime Factorization of 22367
Prime factors of 22367 are 22367. Prime factorization of 22367 in exponential form is:
22367 = 223671
Prime Factorization of 22371
Prime factors of 22371 are 3, 7457. Prime factorization of 22371 in exponential form is:
22371 = 31 × 74571
Now multiplying the highest exponent prime factors to calculate the LCM of 22367 and 22371.
LCM(22367,22371) = 223671 × 31 × 74571
LCM(22367,22371) = 500372157
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