What is the Least Common Multiple of 655 and 665?
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 655 and 665 is 87115.
LCM(655,665) = 87115
Least Common Multiple of 655 and 665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 665, than apply into the LCM equation.
GCF(655,665) = 5
LCM(655,665) = ( 655 × 665) / 5
LCM(655,665) = 435575 / 5
LCM(655,665) = 87115
Least Common Multiple (LCM) of 655 and 665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 665. First we will calculate the prime factors of 655 and 665.
Prime Factorization of 655
Prime factors of 655 are 5, 131. Prime factorization of 655 in exponential form is:
655 = 51 × 1311
Prime Factorization of 665
Prime factors of 665 are 5, 7, 19. Prime factorization of 665 in exponential form is:
665 = 51 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 665.
LCM(655,665) = 51 × 1311 × 71 × 191
LCM(655,665) = 87115
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