What is the Least Common Multiple of 93432 and 93448?
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 93432 and 93448 is 1091379192.
LCM(93432,93448) = 1091379192
Least Common Multiple of 93432 and 93448 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93432 and 93448, than apply into the LCM equation.
GCF(93432,93448) = 8
LCM(93432,93448) = ( 93432 × 93448) / 8
LCM(93432,93448) = 8731033536 / 8
LCM(93432,93448) = 1091379192
Least Common Multiple (LCM) of 93432 and 93448 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93432 and 93448. First we will calculate the prime factors of 93432 and 93448.
Prime Factorization of 93432
Prime factors of 93432 are 2, 3, 17, 229. Prime factorization of 93432 in exponential form is:
93432 = 23 × 31 × 171 × 2291
Prime Factorization of 93448
Prime factors of 93448 are 2, 11681. Prime factorization of 93448 in exponential form is:
93448 = 23 × 116811
Now multiplying the highest exponent prime factors to calculate the LCM of 93432 and 93448.
LCM(93432,93448) = 23 × 31 × 171 × 2291 × 116811
LCM(93432,93448) = 1091379192
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