What is the Least Common Multiple of 70311 and 70317?
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 70311 and 70317 is 1648019529.
LCM(70311,70317) = 1648019529
Least Common Multiple of 70311 and 70317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70311 and 70317, than apply into the LCM equation.
GCF(70311,70317) = 3
LCM(70311,70317) = ( 70311 × 70317) / 3
LCM(70311,70317) = 4944058587 / 3
LCM(70311,70317) = 1648019529
Least Common Multiple (LCM) of 70311 and 70317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70311 and 70317. First we will calculate the prime factors of 70311 and 70317.
Prime Factorization of 70311
Prime factors of 70311 are 3, 23, 1019. Prime factorization of 70311 in exponential form is:
70311 = 31 × 231 × 10191
Prime Factorization of 70317
Prime factors of 70317 are 3, 13, 601. Prime factorization of 70317 in exponential form is:
70317 = 32 × 131 × 6011
Now multiplying the highest exponent prime factors to calculate the LCM of 70311 and 70317.
LCM(70311,70317) = 32 × 231 × 10191 × 131 × 6011
LCM(70311,70317) = 1648019529
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