What is the Least Common Multiple of 22186 and 22204?
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 22186 and 22204 is 246308972.
LCM(22186,22204) = 246308972
Least Common Multiple of 22186 and 22204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22186 and 22204, than apply into the LCM equation.
GCF(22186,22204) = 2
LCM(22186,22204) = ( 22186 × 22204) / 2
LCM(22186,22204) = 492617944 / 2
LCM(22186,22204) = 246308972
Least Common Multiple (LCM) of 22186 and 22204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22186 and 22204. First we will calculate the prime factors of 22186 and 22204.
Prime Factorization of 22186
Prime factors of 22186 are 2, 11093. Prime factorization of 22186 in exponential form is:
22186 = 21 × 110931
Prime Factorization of 22204
Prime factors of 22204 are 2, 7, 13, 61. Prime factorization of 22204 in exponential form is:
22204 = 22 × 71 × 131 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 22186 and 22204.
LCM(22186,22204) = 22 × 110931 × 71 × 131 × 611
LCM(22186,22204) = 246308972
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