What is the Least Common Multiple of 754 and 758?
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 754 and 758 is 285766.
LCM(754,758) = 285766
Least Common Multiple of 754 and 758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 754 and 758, than apply into the LCM equation.
GCF(754,758) = 2
LCM(754,758) = ( 754 × 758) / 2
LCM(754,758) = 571532 / 2
LCM(754,758) = 285766
Least Common Multiple (LCM) of 754 and 758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 758. First we will calculate the prime factors of 754 and 758.
Prime Factorization of 754
Prime factors of 754 are 2, 13, 29. Prime factorization of 754 in exponential form is:
754 = 21 × 131 × 291
Prime Factorization of 758
Prime factors of 758 are 2, 379. Prime factorization of 758 in exponential form is:
758 = 21 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 754 and 758.
LCM(754,758) = 21 × 131 × 291 × 3791
LCM(754,758) = 285766
Related Least Common Multiples of 754
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Related Least Common Multiples of 758
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