What is the Least Common Multiple of 734 and 750?
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 734 and 750 is 275250.
LCM(734,750) = 275250
Least Common Multiple of 734 and 750 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 734 and 750, than apply into the LCM equation.
GCF(734,750) = 2
LCM(734,750) = ( 734 × 750) / 2
LCM(734,750) = 550500 / 2
LCM(734,750) = 275250
Least Common Multiple (LCM) of 734 and 750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 750. First we will calculate the prime factors of 734 and 750.
Prime Factorization of 734
Prime factors of 734 are 2, 367. Prime factorization of 734 in exponential form is:
734 = 21 × 3671
Prime Factorization of 750
Prime factors of 750 are 2, 3, 5. Prime factorization of 750 in exponential form is:
750 = 21 × 31 × 53
Now multiplying the highest exponent prime factors to calculate the LCM of 734 and 750.
LCM(734,750) = 21 × 3671 × 31 × 53
LCM(734,750) = 275250
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