What is the Least Common Multiple of 719 and 738?
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 719 and 738 is 530622.
LCM(719,738) = 530622
Least Common Multiple of 719 and 738 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 719 and 738, than apply into the LCM equation.
GCF(719,738) = 1
LCM(719,738) = ( 719 × 738) / 1
LCM(719,738) = 530622 / 1
LCM(719,738) = 530622
Least Common Multiple (LCM) of 719 and 738 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 738. First we will calculate the prime factors of 719 and 738.
Prime Factorization of 719
Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:
719 = 7191
Prime Factorization of 738
Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:
738 = 21 × 32 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 719 and 738.
LCM(719,738) = 7191 × 21 × 32 × 411
LCM(719,738) = 530622
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