What is the Least Common Multiple of 8462 and 8466?
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 8462 and 8466 is 35819646.
LCM(8462,8466) = 35819646
Least Common Multiple of 8462 and 8466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8462 and 8466, than apply into the LCM equation.
GCF(8462,8466) = 2
LCM(8462,8466) = ( 8462 × 8466) / 2
LCM(8462,8466) = 71639292 / 2
LCM(8462,8466) = 35819646
Least Common Multiple (LCM) of 8462 and 8466 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8462 and 8466. First we will calculate the prime factors of 8462 and 8466.
Prime Factorization of 8462
Prime factors of 8462 are 2, 4231. Prime factorization of 8462 in exponential form is:
8462 = 21 × 42311
Prime Factorization of 8466
Prime factors of 8466 are 2, 3, 17, 83. Prime factorization of 8466 in exponential form is:
8466 = 21 × 31 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 8462 and 8466.
LCM(8462,8466) = 21 × 42311 × 31 × 171 × 831
LCM(8462,8466) = 35819646
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