What is the Least Common Multiple of 22987 and 22995?
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 22995 is 528586065.
LCM(22987,22995) = 528586065
Least Common Multiple of 22987 and 22995 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 22995, than apply into the LCM equation.
GCF(22987,22995) = 1
LCM(22987,22995) = ( 22987 × 22995) / 1
LCM(22987,22995) = 528586065 / 1
LCM(22987,22995) = 528586065
Least Common Multiple (LCM) of 22987 and 22995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22987 and 22995. First we will calculate the prime factors of 22987 and 22995.
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 22995
Prime factors of 22995 are 3, 5, 7, 73. Prime factorization of 22995 in exponential form is:
22995 = 32 × 51 × 71 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 22987 and 22995.
LCM(22987,22995) = 1271 × 1811 × 32 × 51 × 71 × 731
LCM(22987,22995) = 528586065
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