What is the Least Common Multiple of 88677 and 88682?
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 88677 and 88682 is 7864053714.
LCM(88677,88682) = 7864053714
Least Common Multiple of 88677 and 88682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88677 and 88682, than apply into the LCM equation.
GCF(88677,88682) = 1
LCM(88677,88682) = ( 88677 × 88682) / 1
LCM(88677,88682) = 7864053714 / 1
LCM(88677,88682) = 7864053714
Least Common Multiple (LCM) of 88677 and 88682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88677 and 88682. First we will calculate the prime factors of 88677 and 88682.
Prime Factorization of 88677
Prime factors of 88677 are 3, 59, 167. Prime factorization of 88677 in exponential form is:
88677 = 32 × 591 × 1671
Prime Factorization of 88682
Prime factors of 88682 are 2, 11, 29, 139. Prime factorization of 88682 in exponential form is:
88682 = 21 × 111 × 291 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 88677 and 88682.
LCM(88677,88682) = 32 × 591 × 1671 × 21 × 111 × 291 × 1391
LCM(88677,88682) = 7864053714
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