What is the Least Common Multiple of 88262 and 88282?
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 88262 and 88282 is 3895972942.
LCM(88262,88282) = 3895972942
Least Common Multiple of 88262 and 88282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88262 and 88282, than apply into the LCM equation.
GCF(88262,88282) = 2
LCM(88262,88282) = ( 88262 × 88282) / 2
LCM(88262,88282) = 7791945884 / 2
LCM(88262,88282) = 3895972942
Least Common Multiple (LCM) of 88262 and 88282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88262 and 88282. First we will calculate the prime factors of 88262 and 88282.
Prime Factorization of 88262
Prime factors of 88262 are 2, 44131. Prime factorization of 88262 in exponential form is:
88262 = 21 × 441311
Prime Factorization of 88282
Prime factors of 88282 are 2, 37, 1193. Prime factorization of 88282 in exponential form is:
88282 = 21 × 371 × 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 88262 and 88282.
LCM(88262,88282) = 21 × 441311 × 371 × 11931
LCM(88262,88282) = 3895972942
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