What is the Least Common Multiple of 93060 and 93064?
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 93060 and 93064 is 2165133960.
LCM(93060,93064) = 2165133960
Least Common Multiple of 93060 and 93064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93060 and 93064, than apply into the LCM equation.
GCF(93060,93064) = 4
LCM(93060,93064) = ( 93060 × 93064) / 4
LCM(93060,93064) = 8660535840 / 4
LCM(93060,93064) = 2165133960
Least Common Multiple (LCM) of 93060 and 93064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93060 and 93064. First we will calculate the prime factors of 93060 and 93064.
Prime Factorization of 93060
Prime factors of 93060 are 2, 3, 5, 11, 47. Prime factorization of 93060 in exponential form is:
93060 = 22 × 32 × 51 × 111 × 471
Prime Factorization of 93064
Prime factors of 93064 are 2, 11633. Prime factorization of 93064 in exponential form is:
93064 = 23 × 116331
Now multiplying the highest exponent prime factors to calculate the LCM of 93060 and 93064.
LCM(93060,93064) = 23 × 32 × 51 × 111 × 471 × 116331
LCM(93060,93064) = 2165133960
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