What is the Least Common Multiple of 23238 and 23253?
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 23238 and 23253 is 180117738.
LCM(23238,23253) = 180117738
Least Common Multiple of 23238 and 23253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23238 and 23253, than apply into the LCM equation.
GCF(23238,23253) = 3
LCM(23238,23253) = ( 23238 × 23253) / 3
LCM(23238,23253) = 540353214 / 3
LCM(23238,23253) = 180117738
Least Common Multiple (LCM) of 23238 and 23253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23238 and 23253. First we will calculate the prime factors of 23238 and 23253.
Prime Factorization of 23238
Prime factors of 23238 are 2, 3, 1291. Prime factorization of 23238 in exponential form is:
23238 = 21 × 32 × 12911
Prime Factorization of 23253
Prime factors of 23253 are 3, 23, 337. Prime factorization of 23253 in exponential form is:
23253 = 31 × 231 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 23238 and 23253.
LCM(23238,23253) = 21 × 32 × 12911 × 231 × 3371
LCM(23238,23253) = 180117738
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