What is the Least Common Multiple of 23895 and 23901?
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 23895 and 23901 is 190371465.
LCM(23895,23901) = 190371465
Least Common Multiple of 23895 and 23901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23895 and 23901, than apply into the LCM equation.
GCF(23895,23901) = 3
LCM(23895,23901) = ( 23895 × 23901) / 3
LCM(23895,23901) = 571114395 / 3
LCM(23895,23901) = 190371465
Least Common Multiple (LCM) of 23895 and 23901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23895 and 23901. First we will calculate the prime factors of 23895 and 23901.
Prime Factorization of 23895
Prime factors of 23895 are 3, 5, 59. Prime factorization of 23895 in exponential form is:
23895 = 34 × 51 × 591
Prime Factorization of 23901
Prime factors of 23901 are 3, 31, 257. Prime factorization of 23901 in exponential form is:
23901 = 31 × 311 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 23895 and 23901.
LCM(23895,23901) = 34 × 51 × 591 × 311 × 2571
LCM(23895,23901) = 190371465
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