What is the Least Common Multiple of 18220 and 18227?
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 18220 and 18227 is 332095940.
LCM(18220,18227) = 332095940
Least Common Multiple of 18220 and 18227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18220 and 18227, than apply into the LCM equation.
GCF(18220,18227) = 1
LCM(18220,18227) = ( 18220 × 18227) / 1
LCM(18220,18227) = 332095940 / 1
LCM(18220,18227) = 332095940
Least Common Multiple (LCM) of 18220 and 18227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18220 and 18227. First we will calculate the prime factors of 18220 and 18227.
Prime Factorization of 18220
Prime factors of 18220 are 2, 5, 911. Prime factorization of 18220 in exponential form is:
18220 = 22 × 51 × 9111
Prime Factorization of 18227
Prime factors of 18227 are 11, 1657. Prime factorization of 18227 in exponential form is:
18227 = 111 × 16571
Now multiplying the highest exponent prime factors to calculate the LCM of 18220 and 18227.
LCM(18220,18227) = 22 × 51 × 9111 × 111 × 16571
LCM(18220,18227) = 332095940
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