What is the Least Common Multiple of 22987 and 22993?
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 22987 and 22993 is 528540091.
LCM(22987,22993) = 528540091
Least Common Multiple of 22987 and 22993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22987 and 22993, than apply into the LCM equation.
GCF(22987,22993) = 1
LCM(22987,22993) = ( 22987 × 22993) / 1
LCM(22987,22993) = 528540091 / 1
LCM(22987,22993) = 528540091
Least Common Multiple (LCM) of 22987 and 22993 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22987 and 22993. First we will calculate the prime factors of 22987 and 22993.
Prime Factorization of 22987
Prime factors of 22987 are 127, 181. Prime factorization of 22987 in exponential form is:
22987 = 1271 × 1811
Prime Factorization of 22993
Prime factors of 22993 are 22993. Prime factorization of 22993 in exponential form is:
22993 = 229931
Now multiplying the highest exponent prime factors to calculate the LCM of 22987 and 22993.
LCM(22987,22993) = 1271 × 1811 × 229931
LCM(22987,22993) = 528540091
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