What is the Least Common Multiple of 84241 and 84250?
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 84241 and 84250 is 7097304250.
LCM(84241,84250) = 7097304250
Least Common Multiple of 84241 and 84250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84241 and 84250, than apply into the LCM equation.
GCF(84241,84250) = 1
LCM(84241,84250) = ( 84241 × 84250) / 1
LCM(84241,84250) = 7097304250 / 1
LCM(84241,84250) = 7097304250
Least Common Multiple (LCM) of 84241 and 84250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84241 and 84250. First we will calculate the prime factors of 84241 and 84250.
Prime Factorization of 84241
Prime factors of 84241 are 61, 1381. Prime factorization of 84241 in exponential form is:
84241 = 611 × 13811
Prime Factorization of 84250
Prime factors of 84250 are 2, 5, 337. Prime factorization of 84250 in exponential form is:
84250 = 21 × 53 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 84241 and 84250.
LCM(84241,84250) = 611 × 13811 × 21 × 53 × 3371
LCM(84241,84250) = 7097304250
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