What is the Least Common Multiple of 84610 and 84617?
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 84610 and 84617 is 7159444370.
LCM(84610,84617) = 7159444370
Least Common Multiple of 84610 and 84617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84610 and 84617, than apply into the LCM equation.
GCF(84610,84617) = 1
LCM(84610,84617) = ( 84610 × 84617) / 1
LCM(84610,84617) = 7159444370 / 1
LCM(84610,84617) = 7159444370
Least Common Multiple (LCM) of 84610 and 84617 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84610 and 84617. First we will calculate the prime factors of 84610 and 84617.
Prime Factorization of 84610
Prime factors of 84610 are 2, 5, 8461. Prime factorization of 84610 in exponential form is:
84610 = 21 × 51 × 84611
Prime Factorization of 84617
Prime factors of 84617 are 13, 23, 283. Prime factorization of 84617 in exponential form is:
84617 = 131 × 231 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 84610 and 84617.
LCM(84610,84617) = 21 × 51 × 84611 × 131 × 231 × 2831
LCM(84610,84617) = 7159444370
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