What is the Least Common Multiple of 84901 and 84907?
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 84901 and 84907 is 7208689207.
LCM(84901,84907) = 7208689207
Least Common Multiple of 84901 and 84907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84901 and 84907, than apply into the LCM equation.
GCF(84901,84907) = 1
LCM(84901,84907) = ( 84901 × 84907) / 1
LCM(84901,84907) = 7208689207 / 1
LCM(84901,84907) = 7208689207
Least Common Multiple (LCM) of 84901 and 84907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84901 and 84907. First we will calculate the prime factors of 84901 and 84907.
Prime Factorization of 84901
Prime factors of 84901 are 59, 1439. Prime factorization of 84901 in exponential form is:
84901 = 591 × 14391
Prime Factorization of 84907
Prime factors of 84907 are 197, 431. Prime factorization of 84907 in exponential form is:
84907 = 1971 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 84901 and 84907.
LCM(84901,84907) = 591 × 14391 × 1971 × 4311
LCM(84901,84907) = 7208689207
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