What is the Least Common Multiple of 85982 and 85988?
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 85982 and 85988 is 3696710108.
LCM(85982,85988) = 3696710108
Least Common Multiple of 85982 and 85988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85982 and 85988, than apply into the LCM equation.
GCF(85982,85988) = 2
LCM(85982,85988) = ( 85982 × 85988) / 2
LCM(85982,85988) = 7393420216 / 2
LCM(85982,85988) = 3696710108
Least Common Multiple (LCM) of 85982 and 85988 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85982 and 85988. First we will calculate the prime factors of 85982 and 85988.
Prime Factorization of 85982
Prime factors of 85982 are 2, 13, 3307. Prime factorization of 85982 in exponential form is:
85982 = 21 × 131 × 33071
Prime Factorization of 85988
Prime factors of 85988 are 2, 7, 37, 83. Prime factorization of 85988 in exponential form is:
85988 = 22 × 71 × 371 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 85982 and 85988.
LCM(85982,85988) = 22 × 131 × 33071 × 71 × 371 × 831
LCM(85982,85988) = 3696710108
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