What is the Least Common Multiple of 88552 and 88562?
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 88552 and 88562 is 3921171112.
LCM(88552,88562) = 3921171112
Least Common Multiple of 88552 and 88562 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88552 and 88562, than apply into the LCM equation.
GCF(88552,88562) = 2
LCM(88552,88562) = ( 88552 × 88562) / 2
LCM(88552,88562) = 7842342224 / 2
LCM(88552,88562) = 3921171112
Least Common Multiple (LCM) of 88552 and 88562 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88552 and 88562. First we will calculate the prime factors of 88552 and 88562.
Prime Factorization of 88552
Prime factors of 88552 are 2, 11069. Prime factorization of 88552 in exponential form is:
88552 = 23 × 110691
Prime Factorization of 88562
Prime factors of 88562 are 2, 44281. Prime factorization of 88562 in exponential form is:
88562 = 21 × 442811
Now multiplying the highest exponent prime factors to calculate the LCM of 88552 and 88562.
LCM(88552,88562) = 23 × 110691 × 442811
LCM(88552,88562) = 3921171112
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