What is the Least Common Multiple of 84885 and 84890?
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 84885 and 84890 is 1441177530.
LCM(84885,84890) = 1441177530
Least Common Multiple of 84885 and 84890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84885 and 84890, than apply into the LCM equation.
GCF(84885,84890) = 5
LCM(84885,84890) = ( 84885 × 84890) / 5
LCM(84885,84890) = 7205887650 / 5
LCM(84885,84890) = 1441177530
Least Common Multiple (LCM) of 84885 and 84890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84885 and 84890. First we will calculate the prime factors of 84885 and 84890.
Prime Factorization of 84885
Prime factors of 84885 are 3, 5, 5659. Prime factorization of 84885 in exponential form is:
84885 = 31 × 51 × 56591
Prime Factorization of 84890
Prime factors of 84890 are 2, 5, 13, 653. Prime factorization of 84890 in exponential form is:
84890 = 21 × 51 × 131 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 84885 and 84890.
LCM(84885,84890) = 31 × 51 × 56591 × 21 × 131 × 6531
LCM(84885,84890) = 1441177530
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