What is the Least Common Multiple of 25712 and 25725?
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 25712 and 25725 is 661441200.
LCM(25712,25725) = 661441200
Least Common Multiple of 25712 and 25725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25712 and 25725, than apply into the LCM equation.
GCF(25712,25725) = 1
LCM(25712,25725) = ( 25712 × 25725) / 1
LCM(25712,25725) = 661441200 / 1
LCM(25712,25725) = 661441200
Least Common Multiple (LCM) of 25712 and 25725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25712 and 25725. First we will calculate the prime factors of 25712 and 25725.
Prime Factorization of 25712
Prime factors of 25712 are 2, 1607. Prime factorization of 25712 in exponential form is:
25712 = 24 × 16071
Prime Factorization of 25725
Prime factors of 25725 are 3, 5, 7. Prime factorization of 25725 in exponential form is:
25725 = 31 × 52 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 25712 and 25725.
LCM(25712,25725) = 24 × 16071 × 31 × 52 × 73
LCM(25712,25725) = 661441200
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