What is the Least Common Multiple of 81788 and 81799?
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 81788 and 81799 is 6690176612.
LCM(81788,81799) = 6690176612
Least Common Multiple of 81788 and 81799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81788 and 81799, than apply into the LCM equation.
GCF(81788,81799) = 1
LCM(81788,81799) = ( 81788 × 81799) / 1
LCM(81788,81799) = 6690176612 / 1
LCM(81788,81799) = 6690176612
Least Common Multiple (LCM) of 81788 and 81799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81788 and 81799. First we will calculate the prime factors of 81788 and 81799.
Prime Factorization of 81788
Prime factors of 81788 are 2, 7, 23, 127. Prime factorization of 81788 in exponential form is:
81788 = 22 × 71 × 231 × 1271
Prime Factorization of 81799
Prime factors of 81799 are 81799. Prime factorization of 81799 in exponential form is:
81799 = 817991
Now multiplying the highest exponent prime factors to calculate the LCM of 81788 and 81799.
LCM(81788,81799) = 22 × 71 × 231 × 1271 × 817991
LCM(81788,81799) = 6690176612
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