What is the Least Common Multiple of 88897 and 88910?
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 88897 and 88910 is 7903832270.
LCM(88897,88910) = 7903832270
Least Common Multiple of 88897 and 88910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88897 and 88910, than apply into the LCM equation.
GCF(88897,88910) = 1
LCM(88897,88910) = ( 88897 × 88910) / 1
LCM(88897,88910) = 7903832270 / 1
LCM(88897,88910) = 7903832270
Least Common Multiple (LCM) of 88897 and 88910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88897 and 88910. First we will calculate the prime factors of 88897 and 88910.
Prime Factorization of 88897
Prime factors of 88897 are 88897. Prime factorization of 88897 in exponential form is:
88897 = 888971
Prime Factorization of 88910
Prime factors of 88910 are 2, 5, 17, 523. Prime factorization of 88910 in exponential form is:
88910 = 21 × 51 × 171 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 88897 and 88910.
LCM(88897,88910) = 888971 × 21 × 51 × 171 × 5231
LCM(88897,88910) = 7903832270
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