What is the Least Common Multiple of 70997 and 71015?
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 70997 and 71015 is 5041851955.
LCM(70997,71015) = 5041851955
Least Common Multiple of 70997 and 71015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70997 and 71015, than apply into the LCM equation.
GCF(70997,71015) = 1
LCM(70997,71015) = ( 70997 × 71015) / 1
LCM(70997,71015) = 5041851955 / 1
LCM(70997,71015) = 5041851955
Least Common Multiple (LCM) of 70997 and 71015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70997 and 71015. First we will calculate the prime factors of 70997 and 71015.
Prime Factorization of 70997
Prime factors of 70997 are 70997. Prime factorization of 70997 in exponential form is:
70997 = 709971
Prime Factorization of 71015
Prime factors of 71015 are 5, 7, 2029. Prime factorization of 71015 in exponential form is:
71015 = 51 × 71 × 20291
Now multiplying the highest exponent prime factors to calculate the LCM of 70997 and 71015.
LCM(70997,71015) = 709971 × 51 × 71 × 20291
LCM(70997,71015) = 5041851955
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