What is the Least Common Multiple of 70680 and 70686?
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 70680 and 70686 is 832681080.
LCM(70680,70686) = 832681080
Least Common Multiple of 70680 and 70686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70680 and 70686, than apply into the LCM equation.
GCF(70680,70686) = 6
LCM(70680,70686) = ( 70680 × 70686) / 6
LCM(70680,70686) = 4996086480 / 6
LCM(70680,70686) = 832681080
Least Common Multiple (LCM) of 70680 and 70686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70680 and 70686. First we will calculate the prime factors of 70680 and 70686.
Prime Factorization of 70680
Prime factors of 70680 are 2, 3, 5, 19, 31. Prime factorization of 70680 in exponential form is:
70680 = 23 × 31 × 51 × 191 × 311
Prime Factorization of 70686
Prime factors of 70686 are 2, 3, 7, 11, 17. Prime factorization of 70686 in exponential form is:
70686 = 21 × 33 × 71 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 70680 and 70686.
LCM(70680,70686) = 23 × 33 × 51 × 191 × 311 × 71 × 111 × 171
LCM(70680,70686) = 832681080
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