What is the Least Common Multiple of 22522 and 22527?
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 22522 and 22527 is 507353094.
LCM(22522,22527) = 507353094
Least Common Multiple of 22522 and 22527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22522 and 22527, than apply into the LCM equation.
GCF(22522,22527) = 1
LCM(22522,22527) = ( 22522 × 22527) / 1
LCM(22522,22527) = 507353094 / 1
LCM(22522,22527) = 507353094
Least Common Multiple (LCM) of 22522 and 22527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22522 and 22527. First we will calculate the prime factors of 22522 and 22527.
Prime Factorization of 22522
Prime factors of 22522 are 2, 11261. Prime factorization of 22522 in exponential form is:
22522 = 21 × 112611
Prime Factorization of 22527
Prime factors of 22527 are 3, 2503. Prime factorization of 22527 in exponential form is:
22527 = 32 × 25031
Now multiplying the highest exponent prime factors to calculate the LCM of 22522 and 22527.
LCM(22522,22527) = 21 × 112611 × 32 × 25031
LCM(22522,22527) = 507353094
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Related Least Common Multiples of 22527
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