What is the Least Common Multiple of 59222 and 59237?
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 59222 and 59237 is 3508133614.
LCM(59222,59237) = 3508133614
Least Common Multiple of 59222 and 59237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59222 and 59237, than apply into the LCM equation.
GCF(59222,59237) = 1
LCM(59222,59237) = ( 59222 × 59237) / 1
LCM(59222,59237) = 3508133614 / 1
LCM(59222,59237) = 3508133614
Least Common Multiple (LCM) of 59222 and 59237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59222 and 59237. First we will calculate the prime factors of 59222 and 59237.
Prime Factorization of 59222
Prime factors of 59222 are 2, 29611. Prime factorization of 59222 in exponential form is:
59222 = 21 × 296111
Prime Factorization of 59237
Prime factors of 59237 are 37, 1601. Prime factorization of 59237 in exponential form is:
59237 = 371 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 59222 and 59237.
LCM(59222,59237) = 21 × 296111 × 371 × 16011
LCM(59222,59237) = 3508133614
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