What is the Least Common Multiple of 93656 and 93662?
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 93656 and 93662 is 4386004136.
LCM(93656,93662) = 4386004136
Least Common Multiple of 93656 and 93662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93656 and 93662, than apply into the LCM equation.
GCF(93656,93662) = 2
LCM(93656,93662) = ( 93656 × 93662) / 2
LCM(93656,93662) = 8772008272 / 2
LCM(93656,93662) = 4386004136
Least Common Multiple (LCM) of 93656 and 93662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93656 and 93662. First we will calculate the prime factors of 93656 and 93662.
Prime Factorization of 93656
Prime factors of 93656 are 2, 23, 509. Prime factorization of 93656 in exponential form is:
93656 = 23 × 231 × 5091
Prime Factorization of 93662
Prime factors of 93662 are 2, 46831. Prime factorization of 93662 in exponential form is:
93662 = 21 × 468311
Now multiplying the highest exponent prime factors to calculate the LCM of 93656 and 93662.
LCM(93656,93662) = 23 × 231 × 5091 × 468311
LCM(93656,93662) = 4386004136
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