What is the Least Common Multiple of 25241 and 25246?
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 25241 and 25246 is 637234286.
LCM(25241,25246) = 637234286
Least Common Multiple of 25241 and 25246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25241 and 25246, than apply into the LCM equation.
GCF(25241,25246) = 1
LCM(25241,25246) = ( 25241 × 25246) / 1
LCM(25241,25246) = 637234286 / 1
LCM(25241,25246) = 637234286
Least Common Multiple (LCM) of 25241 and 25246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25241 and 25246. First we will calculate the prime factors of 25241 and 25246.
Prime Factorization of 25241
Prime factors of 25241 are 43, 587. Prime factorization of 25241 in exponential form is:
25241 = 431 × 5871
Prime Factorization of 25246
Prime factors of 25246 are 2, 13, 971. Prime factorization of 25246 in exponential form is:
25246 = 21 × 131 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 25241 and 25246.
LCM(25241,25246) = 431 × 5871 × 21 × 131 × 9711
LCM(25241,25246) = 637234286
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