What is the Least Common Multiple of 25222 and 25237?
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 25222 and 25237 is 636527614.
LCM(25222,25237) = 636527614
Least Common Multiple of 25222 and 25237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25222 and 25237, than apply into the LCM equation.
GCF(25222,25237) = 1
LCM(25222,25237) = ( 25222 × 25237) / 1
LCM(25222,25237) = 636527614 / 1
LCM(25222,25237) = 636527614
Least Common Multiple (LCM) of 25222 and 25237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25222 and 25237. First we will calculate the prime factors of 25222 and 25237.
Prime Factorization of 25222
Prime factors of 25222 are 2, 12611. Prime factorization of 25222 in exponential form is:
25222 = 21 × 126111
Prime Factorization of 25237
Prime factors of 25237 are 25237. Prime factorization of 25237 in exponential form is:
25237 = 252371
Now multiplying the highest exponent prime factors to calculate the LCM of 25222 and 25237.
LCM(25222,25237) = 21 × 126111 × 252371
LCM(25222,25237) = 636527614
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