What is the Least Common Multiple of 22045 and 22065?
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 22045 and 22065 is 97284585.
LCM(22045,22065) = 97284585
Least Common Multiple of 22045 and 22065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22045 and 22065, than apply into the LCM equation.
GCF(22045,22065) = 5
LCM(22045,22065) = ( 22045 × 22065) / 5
LCM(22045,22065) = 486422925 / 5
LCM(22045,22065) = 97284585
Least Common Multiple (LCM) of 22045 and 22065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22045 and 22065. First we will calculate the prime factors of 22045 and 22065.
Prime Factorization of 22045
Prime factors of 22045 are 5, 4409. Prime factorization of 22045 in exponential form is:
22045 = 51 × 44091
Prime Factorization of 22065
Prime factors of 22065 are 3, 5, 1471. Prime factorization of 22065 in exponential form is:
22065 = 31 × 51 × 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 22045 and 22065.
LCM(22045,22065) = 51 × 44091 × 31 × 14711
LCM(22045,22065) = 97284585
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