What is the Least Common Multiple of 93601 and 93616?
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 93601 and 93616 is 8762551216.
LCM(93601,93616) = 8762551216
Least Common Multiple of 93601 and 93616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93601 and 93616, than apply into the LCM equation.
GCF(93601,93616) = 1
LCM(93601,93616) = ( 93601 × 93616) / 1
LCM(93601,93616) = 8762551216 / 1
LCM(93601,93616) = 8762551216
Least Common Multiple (LCM) of 93601 and 93616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93601 and 93616. First we will calculate the prime factors of 93601 and 93616.
Prime Factorization of 93601
Prime factors of 93601 are 93601. Prime factorization of 93601 in exponential form is:
93601 = 936011
Prime Factorization of 93616
Prime factors of 93616 are 2, 5851. Prime factorization of 93616 in exponential form is:
93616 = 24 × 58511
Now multiplying the highest exponent prime factors to calculate the LCM of 93601 and 93616.
LCM(93601,93616) = 936011 × 24 × 58511
LCM(93601,93616) = 8762551216
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