What is the Least Common Multiple of 93119 and 93128?
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 93128 is 8671986232.
LCM(93119,93128) = 8671986232
Least Common Multiple of 93119 and 93128 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 93128, than apply into the LCM equation.
GCF(93119,93128) = 1
LCM(93119,93128) = ( 93119 × 93128) / 1
LCM(93119,93128) = 8671986232 / 1
LCM(93119,93128) = 8671986232
Least Common Multiple (LCM) of 93119 and 93128 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93119 and 93128. First we will calculate the prime factors of 93119 and 93128.
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 93128
Prime factors of 93128 are 2, 7, 1663. Prime factorization of 93128 in exponential form is:
93128 = 23 × 71 × 16631
Now multiplying the highest exponent prime factors to calculate the LCM of 93119 and 93128.
LCM(93119,93128) = 132 × 191 × 291 × 23 × 71 × 16631
LCM(93119,93128) = 8671986232
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