What is the Least Common Multiple of 25530 and 25534?
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 25530 and 25534 is 325941510.
LCM(25530,25534) = 325941510
Least Common Multiple of 25530 and 25534 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25530 and 25534, than apply into the LCM equation.
GCF(25530,25534) = 2
LCM(25530,25534) = ( 25530 × 25534) / 2
LCM(25530,25534) = 651883020 / 2
LCM(25530,25534) = 325941510
Least Common Multiple (LCM) of 25530 and 25534 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25530 and 25534. First we will calculate the prime factors of 25530 and 25534.
Prime Factorization of 25530
Prime factors of 25530 are 2, 3, 5, 23, 37. Prime factorization of 25530 in exponential form is:
25530 = 21 × 31 × 51 × 231 × 371
Prime Factorization of 25534
Prime factors of 25534 are 2, 17, 751. Prime factorization of 25534 in exponential form is:
25534 = 21 × 171 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 25530 and 25534.
LCM(25530,25534) = 21 × 31 × 51 × 231 × 371 × 171 × 7511
LCM(25530,25534) = 325941510
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