What is the Least Common Multiple of 725 and 729?
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 725 and 729 is 528525.
LCM(725,729) = 528525
Least Common Multiple of 725 and 729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 725 and 729, than apply into the LCM equation.
GCF(725,729) = 1
LCM(725,729) = ( 725 × 729) / 1
LCM(725,729) = 528525 / 1
LCM(725,729) = 528525
Least Common Multiple (LCM) of 725 and 729 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 729. First we will calculate the prime factors of 725 and 729.
Prime Factorization of 725
Prime factors of 725 are 5, 29. Prime factorization of 725 in exponential form is:
725 = 52 × 291
Prime Factorization of 729
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 729.
LCM(725,729) = 52 × 291 × 36
LCM(725,729) = 528525
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