What is the Least Common Multiple of 22427 and 22431?
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 22427 and 22431 is 503060037.
LCM(22427,22431) = 503060037
Least Common Multiple of 22427 and 22431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22427 and 22431, than apply into the LCM equation.
GCF(22427,22431) = 1
LCM(22427,22431) = ( 22427 × 22431) / 1
LCM(22427,22431) = 503060037 / 1
LCM(22427,22431) = 503060037
Least Common Multiple (LCM) of 22427 and 22431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22427 and 22431. First we will calculate the prime factors of 22427 and 22431.
Prime Factorization of 22427
Prime factors of 22427 are 41, 547. Prime factorization of 22427 in exponential form is:
22427 = 411 × 5471
Prime Factorization of 22431
Prime factors of 22431 are 3, 7477. Prime factorization of 22431 in exponential form is:
22431 = 31 × 74771
Now multiplying the highest exponent prime factors to calculate the LCM of 22427 and 22431.
LCM(22427,22431) = 411 × 5471 × 31 × 74771
LCM(22427,22431) = 503060037
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