What is the Least Common Multiple of 734 and 744?
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 744 is 273048.
LCM(734,744) = 273048
Least Common Multiple of 734 and 744 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 744, than apply into the LCM equation.
GCF(734,744) = 2
LCM(734,744) = ( 734 × 744) / 2
LCM(734,744) = 546096 / 2
LCM(734,744) = 273048
Least Common Multiple (LCM) of 734 and 744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 744. First we will calculate the prime factors of 734 and 744.
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 744
Prime factors of 744 are 2, 3, 31. Prime factorization of 744 in exponential form is:
744 = 23 × 31 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 734 and 744.
LCM(734,744) = 23 × 3671 × 31 × 311
LCM(734,744) = 273048
Related Least Common Multiples of 734
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Related Least Common Multiples of 744
- LCM of 744 and 748
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- LCM of 744 and 750
- LCM of 744 and 751
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