What is the Least Common Multiple of 88468 and 88472?
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 88468 and 88472 is 1956735224.
LCM(88468,88472) = 1956735224
Least Common Multiple of 88468 and 88472 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88468 and 88472, than apply into the LCM equation.
GCF(88468,88472) = 4
LCM(88468,88472) = ( 88468 × 88472) / 4
LCM(88468,88472) = 7826940896 / 4
LCM(88468,88472) = 1956735224
Least Common Multiple (LCM) of 88468 and 88472 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88468 and 88472. First we will calculate the prime factors of 88468 and 88472.
Prime Factorization of 88468
Prime factors of 88468 are 2, 17, 1301. Prime factorization of 88468 in exponential form is:
88468 = 22 × 171 × 13011
Prime Factorization of 88472
Prime factors of 88472 are 2, 11059. Prime factorization of 88472 in exponential form is:
88472 = 23 × 110591
Now multiplying the highest exponent prime factors to calculate the LCM of 88468 and 88472.
LCM(88468,88472) = 23 × 171 × 13011 × 110591
LCM(88468,88472) = 1956735224
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