What is the Least Common Multiple of 738 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 738 and 744 is 91512.
LCM(738,744) = 91512
Least Common Multiple of 738 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 738 and 744, than apply into the LCM equation.
GCF(738,744) = 6
LCM(738,744) = ( 738 × 744) / 6
LCM(738,744) = 549072 / 6
LCM(738,744) = 91512
Least Common Multiple (LCM) of 738 and 744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 744. First we will calculate the prime factors of 738 and 744.
Prime Factorization of 738
Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:
738 = 21 × 32 × 411
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 738 and 744.
LCM(738,744) = 23 × 32 × 411 × 311
LCM(738,744) = 91512
Related Least Common Multiples of 738
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- LCM of 738 and 744
- LCM of 738 and 745
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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
- LCM of 744 and 753
- LCM of 744 and 754
- LCM of 744 and 755
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- LCM of 744 and 759
- LCM of 744 and 760
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