What is the Least Common Multiple of 725 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 725 and 744 is 539400.
LCM(725,744) = 539400
Least Common Multiple of 725 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 725 and 744, than apply into the LCM equation.
GCF(725,744) = 1
LCM(725,744) = ( 725 × 744) / 1
LCM(725,744) = 539400 / 1
LCM(725,744) = 539400
Least Common Multiple (LCM) of 725 and 744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 744. First we will calculate the prime factors of 725 and 744.
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 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 725 and 744.
LCM(725,744) = 52 × 291 × 23 × 31 × 311
LCM(725,744) = 539400
Related Least Common Multiples of 725
- LCM of 725 and 729
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- LCM of 725 and 734
- LCM of 725 and 735
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- LCM of 725 and 741
- LCM of 725 and 742
- LCM of 725 and 743
- LCM of 725 and 744
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Related Least Common Multiples of 744
- LCM of 744 and 748
- LCM of 744 and 749
- LCM of 744 and 750
- LCM of 744 and 751
- LCM of 744 and 752
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- LCM of 744 and 756
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- LCM of 744 and 760
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- LCM of 744 and 764