What is the Least Common Multiple of 738 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 738 and 745 is 549810.
LCM(738,745) = 549810
Least Common Multiple of 738 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 738 and 745, than apply into the LCM equation.
GCF(738,745) = 1
LCM(738,745) = ( 738 × 745) / 1
LCM(738,745) = 549810 / 1
LCM(738,745) = 549810
Least Common Multiple (LCM) of 738 and 745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 745. First we will calculate the prime factors of 738 and 745.
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 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 738 and 745.
LCM(738,745) = 21 × 32 × 411 × 51 × 1491
LCM(738,745) = 549810
Related Least Common Multiples of 738
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Related Least Common Multiples of 745
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