What is the Least Common Multiple of 88554 and 88567?
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 88554 and 88567 is 7842962118.
LCM(88554,88567) = 7842962118
Least Common Multiple of 88554 and 88567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88554 and 88567, than apply into the LCM equation.
GCF(88554,88567) = 1
LCM(88554,88567) = ( 88554 × 88567) / 1
LCM(88554,88567) = 7842962118 / 1
LCM(88554,88567) = 7842962118
Least Common Multiple (LCM) of 88554 and 88567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88554 and 88567. First we will calculate the prime factors of 88554 and 88567.
Prime Factorization of 88554
Prime factors of 88554 are 2, 3, 14759. Prime factorization of 88554 in exponential form is:
88554 = 21 × 31 × 147591
Prime Factorization of 88567
Prime factors of 88567 are 31, 2857. Prime factorization of 88567 in exponential form is:
88567 = 311 × 28571
Now multiplying the highest exponent prime factors to calculate the LCM of 88554 and 88567.
LCM(88554,88567) = 21 × 31 × 147591 × 311 × 28571
LCM(88554,88567) = 7842962118
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