What is the Least Common Multiple of 25426 and 25446?
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 25426 and 25446 is 323494998.
LCM(25426,25446) = 323494998
Least Common Multiple of 25426 and 25446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25426 and 25446, than apply into the LCM equation.
GCF(25426,25446) = 2
LCM(25426,25446) = ( 25426 × 25446) / 2
LCM(25426,25446) = 646989996 / 2
LCM(25426,25446) = 323494998
Least Common Multiple (LCM) of 25426 and 25446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25426 and 25446. First we will calculate the prime factors of 25426 and 25446.
Prime Factorization of 25426
Prime factors of 25426 are 2, 12713. Prime factorization of 25426 in exponential form is:
25426 = 21 × 127131
Prime Factorization of 25446
Prime factors of 25446 are 2, 3, 4241. Prime factorization of 25446 in exponential form is:
25446 = 21 × 31 × 42411
Now multiplying the highest exponent prime factors to calculate the LCM of 25426 and 25446.
LCM(25426,25446) = 21 × 127131 × 31 × 42411
LCM(25426,25446) = 323494998
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