What is the Least Common Multiple of 22147 and 22155?
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 22147 and 22155 is 490666785.
LCM(22147,22155) = 490666785
Least Common Multiple of 22147 and 22155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22147 and 22155, than apply into the LCM equation.
GCF(22147,22155) = 1
LCM(22147,22155) = ( 22147 × 22155) / 1
LCM(22147,22155) = 490666785 / 1
LCM(22147,22155) = 490666785
Least Common Multiple (LCM) of 22147 and 22155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22147 and 22155. First we will calculate the prime factors of 22147 and 22155.
Prime Factorization of 22147
Prime factors of 22147 are 22147. Prime factorization of 22147 in exponential form is:
22147 = 221471
Prime Factorization of 22155
Prime factors of 22155 are 3, 5, 7, 211. Prime factorization of 22155 in exponential form is:
22155 = 31 × 51 × 71 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 22147 and 22155.
LCM(22147,22155) = 221471 × 31 × 51 × 71 × 2111
LCM(22147,22155) = 490666785
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