What is the Least Common Multiple of 93020 and 93032?
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 93020 and 93032 is 2163459160.
LCM(93020,93032) = 2163459160
Least Common Multiple of 93020 and 93032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93020 and 93032, than apply into the LCM equation.
GCF(93020,93032) = 4
LCM(93020,93032) = ( 93020 × 93032) / 4
LCM(93020,93032) = 8653836640 / 4
LCM(93020,93032) = 2163459160
Least Common Multiple (LCM) of 93020 and 93032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93020 and 93032. First we will calculate the prime factors of 93020 and 93032.
Prime Factorization of 93020
Prime factors of 93020 are 2, 5, 4651. Prime factorization of 93020 in exponential form is:
93020 = 22 × 51 × 46511
Prime Factorization of 93032
Prime factors of 93032 are 2, 29, 401. Prime factorization of 93032 in exponential form is:
93032 = 23 × 291 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 93020 and 93032.
LCM(93020,93032) = 23 × 51 × 46511 × 291 × 4011
LCM(93020,93032) = 2163459160
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