What is the Least Common Multiple of 22138 and 22153?
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 22138 and 22153 is 490423114.
LCM(22138,22153) = 490423114
Least Common Multiple of 22138 and 22153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22138 and 22153, than apply into the LCM equation.
GCF(22138,22153) = 1
LCM(22138,22153) = ( 22138 × 22153) / 1
LCM(22138,22153) = 490423114 / 1
LCM(22138,22153) = 490423114
Least Common Multiple (LCM) of 22138 and 22153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22138 and 22153. First we will calculate the prime factors of 22138 and 22153.
Prime Factorization of 22138
Prime factors of 22138 are 2, 11069. Prime factorization of 22138 in exponential form is:
22138 = 21 × 110691
Prime Factorization of 22153
Prime factors of 22153 are 22153. Prime factorization of 22153 in exponential form is:
22153 = 221531
Now multiplying the highest exponent prime factors to calculate the LCM of 22138 and 22153.
LCM(22138,22153) = 21 × 110691 × 221531
LCM(22138,22153) = 490423114
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