What is the Least Common Multiple of 70717 and 70726?
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 70717 and 70726 is 5001530542.
LCM(70717,70726) = 5001530542
Least Common Multiple of 70717 and 70726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70717 and 70726, than apply into the LCM equation.
GCF(70717,70726) = 1
LCM(70717,70726) = ( 70717 × 70726) / 1
LCM(70717,70726) = 5001530542 / 1
LCM(70717,70726) = 5001530542
Least Common Multiple (LCM) of 70717 and 70726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70717 and 70726. First we will calculate the prime factors of 70717 and 70726.
Prime Factorization of 70717
Prime factors of 70717 are 70717. Prime factorization of 70717 in exponential form is:
70717 = 707171
Prime Factorization of 70726
Prime factors of 70726 are 2, 35363. Prime factorization of 70726 in exponential form is:
70726 = 21 × 353631
Now multiplying the highest exponent prime factors to calculate the LCM of 70717 and 70726.
LCM(70717,70726) = 707171 × 21 × 353631
LCM(70717,70726) = 5001530542
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