What is the Least Common Multiple of 739 and 745?
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 739 and 745 is 550555.
LCM(739,745) = 550555
Least Common Multiple of 739 and 745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 739 and 745, than apply into the LCM equation.
GCF(739,745) = 1
LCM(739,745) = ( 739 × 745) / 1
LCM(739,745) = 550555 / 1
LCM(739,745) = 550555
Least Common Multiple (LCM) of 739 and 745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 745. First we will calculate the prime factors of 739 and 745.
Prime Factorization of 739
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
Prime Factorization of 745
Prime factors of 745 are 5, 149. Prime factorization of 745 in exponential form is:
745 = 51 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 739 and 745.
LCM(739,745) = 7391 × 51 × 1491
LCM(739,745) = 550555
Related Least Common Multiples of 739
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Related Least Common Multiples of 745
- LCM of 745 and 749
- LCM of 745 and 750
- LCM of 745 and 751
- LCM of 745 and 752
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