What is the Least Common Multiple of 93119 and 93124?
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 93119 and 93124 is 8671613756.
LCM(93119,93124) = 8671613756
Least Common Multiple of 93119 and 93124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93119 and 93124, than apply into the LCM equation.
GCF(93119,93124) = 1
LCM(93119,93124) = ( 93119 × 93124) / 1
LCM(93119,93124) = 8671613756 / 1
LCM(93119,93124) = 8671613756
Least Common Multiple (LCM) of 93119 and 93124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93119 and 93124. First we will calculate the prime factors of 93119 and 93124.
Prime Factorization of 93119
Prime factors of 93119 are 13, 19, 29. Prime factorization of 93119 in exponential form is:
93119 = 132 × 191 × 291
Prime Factorization of 93124
Prime factors of 93124 are 2, 31, 751. Prime factorization of 93124 in exponential form is:
93124 = 22 × 311 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 93119 and 93124.
LCM(93119,93124) = 132 × 191 × 291 × 22 × 311 × 7511
LCM(93119,93124) = 8671613756
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