What is the Least Common Multiple of 88795 and 88803?
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 88795 and 88803 is 7885262385.
LCM(88795,88803) = 7885262385
Least Common Multiple of 88795 and 88803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88795 and 88803, than apply into the LCM equation.
GCF(88795,88803) = 1
LCM(88795,88803) = ( 88795 × 88803) / 1
LCM(88795,88803) = 7885262385 / 1
LCM(88795,88803) = 7885262385
Least Common Multiple (LCM) of 88795 and 88803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88795 and 88803. First we will calculate the prime factors of 88795 and 88803.
Prime Factorization of 88795
Prime factors of 88795 are 5, 7, 43, 59. Prime factorization of 88795 in exponential form is:
88795 = 51 × 71 × 431 × 591
Prime Factorization of 88803
Prime factors of 88803 are 3, 11, 13, 23. Prime factorization of 88803 in exponential form is:
88803 = 33 × 111 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 88795 and 88803.
LCM(88795,88803) = 51 × 71 × 431 × 591 × 33 × 111 × 131 × 231
LCM(88795,88803) = 7885262385
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