What is the Least Common Multiple of 88282 and 88286?
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 88282 and 88286 is 3897032326.
LCM(88282,88286) = 3897032326
Least Common Multiple of 88282 and 88286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88282 and 88286, than apply into the LCM equation.
GCF(88282,88286) = 2
LCM(88282,88286) = ( 88282 × 88286) / 2
LCM(88282,88286) = 7794064652 / 2
LCM(88282,88286) = 3897032326
Least Common Multiple (LCM) of 88282 and 88286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88282 and 88286. First we will calculate the prime factors of 88282 and 88286.
Prime Factorization of 88282
Prime factors of 88282 are 2, 37, 1193. Prime factorization of 88282 in exponential form is:
88282 = 21 × 371 × 11931
Prime Factorization of 88286
Prime factors of 88286 are 2, 11, 4013. Prime factorization of 88286 in exponential form is:
88286 = 21 × 111 × 40131
Now multiplying the highest exponent prime factors to calculate the LCM of 88282 and 88286.
LCM(88282,88286) = 21 × 371 × 11931 × 111 × 40131
LCM(88282,88286) = 3897032326
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