What is the Least Common Multiple of 605 and 615?
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 605 and 615 is 74415.
LCM(605,615) = 74415
Least Common Multiple of 605 and 615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 605 and 615, than apply into the LCM equation.
GCF(605,615) = 5
LCM(605,615) = ( 605 × 615) / 5
LCM(605,615) = 372075 / 5
LCM(605,615) = 74415
Least Common Multiple (LCM) of 605 and 615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 605 and 615. First we will calculate the prime factors of 605 and 615.
Prime Factorization of 605
Prime factors of 605 are 5, 11. Prime factorization of 605 in exponential form is:
605 = 51 × 112
Prime Factorization of 615
Prime factors of 615 are 3, 5, 41. Prime factorization of 615 in exponential form is:
615 = 31 × 51 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 605 and 615.
LCM(605,615) = 51 × 112 × 31 × 411
LCM(605,615) = 74415
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