What is the Least Common Multiple of 25460 and 25476?
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 25460 and 25476 is 162154740.
LCM(25460,25476) = 162154740
Least Common Multiple of 25460 and 25476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25460 and 25476, than apply into the LCM equation.
GCF(25460,25476) = 4
LCM(25460,25476) = ( 25460 × 25476) / 4
LCM(25460,25476) = 648618960 / 4
LCM(25460,25476) = 162154740
Least Common Multiple (LCM) of 25460 and 25476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25460 and 25476. First we will calculate the prime factors of 25460 and 25476.
Prime Factorization of 25460
Prime factors of 25460 are 2, 5, 19, 67. Prime factorization of 25460 in exponential form is:
25460 = 22 × 51 × 191 × 671
Prime Factorization of 25476
Prime factors of 25476 are 2, 3, 11, 193. Prime factorization of 25476 in exponential form is:
25476 = 22 × 31 × 111 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 25460 and 25476.
LCM(25460,25476) = 22 × 51 × 191 × 671 × 31 × 111 × 1931
LCM(25460,25476) = 162154740
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