What is the Least Common Multiple of 842 and 862?
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 842 and 862 is 362902.
LCM(842,862) = 362902
Least Common Multiple of 842 and 862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 842 and 862, than apply into the LCM equation.
GCF(842,862) = 2
LCM(842,862) = ( 842 × 862) / 2
LCM(842,862) = 725804 / 2
LCM(842,862) = 362902
Least Common Multiple (LCM) of 842 and 862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 862. First we will calculate the prime factors of 842 and 862.
Prime Factorization of 842
Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:
842 = 21 × 4211
Prime Factorization of 862
Prime factors of 862 are 2, 431. Prime factorization of 862 in exponential form is:
862 = 21 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 842 and 862.
LCM(842,862) = 21 × 4211 × 4311
LCM(842,862) = 362902
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