What is the Least Common Multiple of 59221 and 59234?
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 59221 and 59234 is 3507896714.
LCM(59221,59234) = 3507896714
Least Common Multiple of 59221 and 59234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59221 and 59234, than apply into the LCM equation.
GCF(59221,59234) = 1
LCM(59221,59234) = ( 59221 × 59234) / 1
LCM(59221,59234) = 3507896714 / 1
LCM(59221,59234) = 3507896714
Least Common Multiple (LCM) of 59221 and 59234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59221 and 59234. First we will calculate the prime factors of 59221 and 59234.
Prime Factorization of 59221
Prime factors of 59221 are 59221. Prime factorization of 59221 in exponential form is:
59221 = 592211
Prime Factorization of 59234
Prime factors of 59234 are 2, 7, 4231. Prime factorization of 59234 in exponential form is:
59234 = 21 × 71 × 42311
Now multiplying the highest exponent prime factors to calculate the LCM of 59221 and 59234.
LCM(59221,59234) = 592211 × 21 × 71 × 42311
LCM(59221,59234) = 3507896714
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