What is the Least Common Multiple of 93737 and 93757?
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 93737 and 93757 is 8788499909.
LCM(93737,93757) = 8788499909
Least Common Multiple of 93737 and 93757 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93737 and 93757, than apply into the LCM equation.
GCF(93737,93757) = 1
LCM(93737,93757) = ( 93737 × 93757) / 1
LCM(93737,93757) = 8788499909 / 1
LCM(93737,93757) = 8788499909
Least Common Multiple (LCM) of 93737 and 93757 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93737 and 93757. First we will calculate the prime factors of 93737 and 93757.
Prime Factorization of 93737
Prime factors of 93737 are 7, 1913. Prime factorization of 93737 in exponential form is:
93737 = 72 × 19131
Prime Factorization of 93757
Prime factors of 93757 are 29, 53, 61. Prime factorization of 93757 in exponential form is:
93757 = 291 × 531 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 93737 and 93757.
LCM(93737,93757) = 72 × 19131 × 291 × 531 × 611
LCM(93737,93757) = 8788499909
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