What is the Least Common Multiple of 52205 and 52221?
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 52205 and 52221 is 2726197305.
LCM(52205,52221) = 2726197305
Least Common Multiple of 52205 and 52221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52205 and 52221, than apply into the LCM equation.
GCF(52205,52221) = 1
LCM(52205,52221) = ( 52205 × 52221) / 1
LCM(52205,52221) = 2726197305 / 1
LCM(52205,52221) = 2726197305
Least Common Multiple (LCM) of 52205 and 52221 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52205 and 52221. First we will calculate the prime factors of 52205 and 52221.
Prime Factorization of 52205
Prime factors of 52205 are 5, 53, 197. Prime factorization of 52205 in exponential form is:
52205 = 51 × 531 × 1971
Prime Factorization of 52221
Prime factors of 52221 are 3, 13, 103. Prime factorization of 52221 in exponential form is:
52221 = 31 × 132 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 52205 and 52221.
LCM(52205,52221) = 51 × 531 × 1971 × 31 × 132 × 1031
LCM(52205,52221) = 2726197305
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