What is the Least Common Multiple of 57215 and 57225?
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 57215 and 57225 is 654825675.
LCM(57215,57225) = 654825675
Least Common Multiple of 57215 and 57225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57215 and 57225, than apply into the LCM equation.
GCF(57215,57225) = 5
LCM(57215,57225) = ( 57215 × 57225) / 5
LCM(57215,57225) = 3274128375 / 5
LCM(57215,57225) = 654825675
Least Common Multiple (LCM) of 57215 and 57225 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57215 and 57225. First we will calculate the prime factors of 57215 and 57225.
Prime Factorization of 57215
Prime factors of 57215 are 5, 11443. Prime factorization of 57215 in exponential form is:
57215 = 51 × 114431
Prime Factorization of 57225
Prime factors of 57225 are 3, 5, 7, 109. Prime factorization of 57225 in exponential form is:
57225 = 31 × 52 × 71 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 57215 and 57225.
LCM(57215,57225) = 52 × 114431 × 31 × 71 × 1091
LCM(57215,57225) = 654825675
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