What is the Least Common Multiple of 712 and 725?
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 712 and 725 is 516200.
LCM(712,725) = 516200
Least Common Multiple of 712 and 725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 712 and 725, than apply into the LCM equation.
GCF(712,725) = 1
LCM(712,725) = ( 712 × 725) / 1
LCM(712,725) = 516200 / 1
LCM(712,725) = 516200
Least Common Multiple (LCM) of 712 and 725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 712 and 725. First we will calculate the prime factors of 712 and 725.
Prime Factorization of 712
Prime factors of 712 are 2, 89. Prime factorization of 712 in exponential form is:
712 = 23 × 891
Prime Factorization of 725
Prime factors of 725 are 5, 29. Prime factorization of 725 in exponential form is:
725 = 52 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 712 and 725.
LCM(712,725) = 23 × 891 × 52 × 291
LCM(712,725) = 516200
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