What is the Least Common Multiple of 88276 and 88285?
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 88276 and 88285 is 7793446660.
LCM(88276,88285) = 7793446660
Least Common Multiple of 88276 and 88285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88276 and 88285, than apply into the LCM equation.
GCF(88276,88285) = 1
LCM(88276,88285) = ( 88276 × 88285) / 1
LCM(88276,88285) = 7793446660 / 1
LCM(88276,88285) = 7793446660
Least Common Multiple (LCM) of 88276 and 88285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88276 and 88285. First we will calculate the prime factors of 88276 and 88285.
Prime Factorization of 88276
Prime factors of 88276 are 2, 29, 761. Prime factorization of 88276 in exponential form is:
88276 = 22 × 291 × 7611
Prime Factorization of 88285
Prime factors of 88285 are 5, 17657. Prime factorization of 88285 in exponential form is:
88285 = 51 × 176571
Now multiplying the highest exponent prime factors to calculate the LCM of 88276 and 88285.
LCM(88276,88285) = 22 × 291 × 7611 × 51 × 176571
LCM(88276,88285) = 7793446660
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