What is the Least Common Multiple of 88962 and 88966?
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 88962 and 88966 is 3957296646.
LCM(88962,88966) = 3957296646
Least Common Multiple of 88962 and 88966 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88962 and 88966, than apply into the LCM equation.
GCF(88962,88966) = 2
LCM(88962,88966) = ( 88962 × 88966) / 2
LCM(88962,88966) = 7914593292 / 2
LCM(88962,88966) = 3957296646
Least Common Multiple (LCM) of 88962 and 88966 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88962 and 88966. First we will calculate the prime factors of 88962 and 88966.
Prime Factorization of 88962
Prime factors of 88962 are 2, 3, 14827. Prime factorization of 88962 in exponential form is:
88962 = 21 × 31 × 148271
Prime Factorization of 88966
Prime factors of 88966 are 2, 44483. Prime factorization of 88966 in exponential form is:
88966 = 21 × 444831
Now multiplying the highest exponent prime factors to calculate the LCM of 88962 and 88966.
LCM(88962,88966) = 21 × 31 × 148271 × 444831
LCM(88962,88966) = 3957296646
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