What is the Least Common Multiple of 754 and 766?
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 766 is 288782.
LCM(754,766) = 288782
Least Common Multiple of 754 and 766 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 766, than apply into the LCM equation.
GCF(754,766) = 2
LCM(754,766) = ( 754 × 766) / 2
LCM(754,766) = 577564 / 2
LCM(754,766) = 288782
Least Common Multiple (LCM) of 754 and 766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 766. First we will calculate the prime factors of 754 and 766.
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 766
Prime factors of 766 are 2, 383. Prime factorization of 766 in exponential form is:
766 = 21 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 754 and 766.
LCM(754,766) = 21 × 131 × 291 × 3831
LCM(754,766) = 288782
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