What is the Least Common Multiple of 25392 and 25401?
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 25392 and 25401 is 214994064.
LCM(25392,25401) = 214994064
Least Common Multiple of 25392 and 25401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25392 and 25401, than apply into the LCM equation.
GCF(25392,25401) = 3
LCM(25392,25401) = ( 25392 × 25401) / 3
LCM(25392,25401) = 644982192 / 3
LCM(25392,25401) = 214994064
Least Common Multiple (LCM) of 25392 and 25401 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25392 and 25401. First we will calculate the prime factors of 25392 and 25401.
Prime Factorization of 25392
Prime factors of 25392 are 2, 3, 23. Prime factorization of 25392 in exponential form is:
25392 = 24 × 31 × 232
Prime Factorization of 25401
Prime factors of 25401 are 3, 8467. Prime factorization of 25401 in exponential form is:
25401 = 31 × 84671
Now multiplying the highest exponent prime factors to calculate the LCM of 25392 and 25401.
LCM(25392,25401) = 24 × 31 × 232 × 84671
LCM(25392,25401) = 214994064
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