What is the Least Common Multiple of 9250 and 9257?
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 9250 and 9257 is 85627250.
LCM(9250,9257) = 85627250
Least Common Multiple of 9250 and 9257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9250 and 9257, than apply into the LCM equation.
GCF(9250,9257) = 1
LCM(9250,9257) = ( 9250 × 9257) / 1
LCM(9250,9257) = 85627250 / 1
LCM(9250,9257) = 85627250
Least Common Multiple (LCM) of 9250 and 9257 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9250 and 9257. First we will calculate the prime factors of 9250 and 9257.
Prime Factorization of 9250
Prime factors of 9250 are 2, 5, 37. Prime factorization of 9250 in exponential form is:
9250 = 21 × 53 × 371
Prime Factorization of 9257
Prime factors of 9257 are 9257. Prime factorization of 9257 in exponential form is:
9257 = 92571
Now multiplying the highest exponent prime factors to calculate the LCM of 9250 and 9257.
LCM(9250,9257) = 21 × 53 × 371 × 92571
LCM(9250,9257) = 85627250
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