What is the Least Common Multiple of 8501 and 8510?
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 8501 and 8510 is 72343510.
LCM(8501,8510) = 72343510
Least Common Multiple of 8501 and 8510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8501 and 8510, than apply into the LCM equation.
GCF(8501,8510) = 1
LCM(8501,8510) = ( 8501 × 8510) / 1
LCM(8501,8510) = 72343510 / 1
LCM(8501,8510) = 72343510
Least Common Multiple (LCM) of 8501 and 8510 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8501 and 8510. First we will calculate the prime factors of 8501 and 8510.
Prime Factorization of 8501
Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:
8501 = 85011
Prime Factorization of 8510
Prime factors of 8510 are 2, 5, 23, 37. Prime factorization of 8510 in exponential form is:
8510 = 21 × 51 × 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 8501 and 8510.
LCM(8501,8510) = 85011 × 21 × 51 × 231 × 371
LCM(8501,8510) = 72343510
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