What is the Least Common Multiple of 52204 and 52224?
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 52204 and 52224 is 681575424.
LCM(52204,52224) = 681575424
Least Common Multiple of 52204 and 52224 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52204 and 52224, than apply into the LCM equation.
GCF(52204,52224) = 4
LCM(52204,52224) = ( 52204 × 52224) / 4
LCM(52204,52224) = 2726301696 / 4
LCM(52204,52224) = 681575424
Least Common Multiple (LCM) of 52204 and 52224 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52204 and 52224. First we will calculate the prime factors of 52204 and 52224.
Prime Factorization of 52204
Prime factors of 52204 are 2, 31, 421. Prime factorization of 52204 in exponential form is:
52204 = 22 × 311 × 4211
Prime Factorization of 52224
Prime factors of 52224 are 2, 3, 17. Prime factorization of 52224 in exponential form is:
52224 = 210 × 31 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 52204 and 52224.
LCM(52204,52224) = 210 × 311 × 4211 × 31 × 171
LCM(52204,52224) = 681575424
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