What is the Least Common Multiple of 23375 and 23379?
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 23375 and 23379 is 546484125.
LCM(23375,23379) = 546484125
Least Common Multiple of 23375 and 23379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23375 and 23379, than apply into the LCM equation.
GCF(23375,23379) = 1
LCM(23375,23379) = ( 23375 × 23379) / 1
LCM(23375,23379) = 546484125 / 1
LCM(23375,23379) = 546484125
Least Common Multiple (LCM) of 23375 and 23379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23375 and 23379. First we will calculate the prime factors of 23375 and 23379.
Prime Factorization of 23375
Prime factors of 23375 are 5, 11, 17. Prime factorization of 23375 in exponential form is:
23375 = 53 × 111 × 171
Prime Factorization of 23379
Prime factors of 23379 are 3, 7793. Prime factorization of 23379 in exponential form is:
23379 = 31 × 77931
Now multiplying the highest exponent prime factors to calculate the LCM of 23375 and 23379.
LCM(23375,23379) = 53 × 111 × 171 × 31 × 77931
LCM(23375,23379) = 546484125
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