What is the Least Common Multiple of 88679 and 88683?
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 88679 and 88683 is 7864319757.
LCM(88679,88683) = 7864319757
Least Common Multiple of 88679 and 88683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88679 and 88683, than apply into the LCM equation.
GCF(88679,88683) = 1
LCM(88679,88683) = ( 88679 × 88683) / 1
LCM(88679,88683) = 7864319757 / 1
LCM(88679,88683) = 7864319757
Least Common Multiple (LCM) of 88679 and 88683 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88679 and 88683. First we will calculate the prime factors of 88679 and 88683.
Prime Factorization of 88679
Prime factors of 88679 are 71, 1249. Prime factorization of 88679 in exponential form is:
88679 = 711 × 12491
Prime Factorization of 88683
Prime factors of 88683 are 3, 7, 41, 103. Prime factorization of 88683 in exponential form is:
88683 = 31 × 71 × 411 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 88679 and 88683.
LCM(88679,88683) = 711 × 12491 × 31 × 71 × 411 × 1031
LCM(88679,88683) = 7864319757
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