What is the Least Common Multiple of 59225 and 59229?
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 59225 and 59229 is 3507837525.
LCM(59225,59229) = 3507837525
Least Common Multiple of 59225 and 59229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59225 and 59229, than apply into the LCM equation.
GCF(59225,59229) = 1
LCM(59225,59229) = ( 59225 × 59229) / 1
LCM(59225,59229) = 3507837525 / 1
LCM(59225,59229) = 3507837525
Least Common Multiple (LCM) of 59225 and 59229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59225 and 59229. First we will calculate the prime factors of 59225 and 59229.
Prime Factorization of 59225
Prime factors of 59225 are 5, 23, 103. Prime factorization of 59225 in exponential form is:
59225 = 52 × 231 × 1031
Prime Factorization of 59229
Prime factors of 59229 are 3, 6581. Prime factorization of 59229 in exponential form is:
59229 = 32 × 65811
Now multiplying the highest exponent prime factors to calculate the LCM of 59225 and 59229.
LCM(59225,59229) = 52 × 231 × 1031 × 32 × 65811
LCM(59225,59229) = 3507837525
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