What is the Least Common Multiple of 84790 and 84799?
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 84790 and 84799 is 7190107210.
LCM(84790,84799) = 7190107210
Least Common Multiple of 84790 and 84799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84790 and 84799, than apply into the LCM equation.
GCF(84790,84799) = 1
LCM(84790,84799) = ( 84790 × 84799) / 1
LCM(84790,84799) = 7190107210 / 1
LCM(84790,84799) = 7190107210
Least Common Multiple (LCM) of 84790 and 84799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84790 and 84799. First we will calculate the prime factors of 84790 and 84799.
Prime Factorization of 84790
Prime factors of 84790 are 2, 5, 61, 139. Prime factorization of 84790 in exponential form is:
84790 = 21 × 51 × 611 × 1391
Prime Factorization of 84799
Prime factors of 84799 are 11, 13, 593. Prime factorization of 84799 in exponential form is:
84799 = 111 × 131 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 84790 and 84799.
LCM(84790,84799) = 21 × 51 × 611 × 1391 × 111 × 131 × 5931
LCM(84790,84799) = 7190107210
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