What is the Least Common Multiple of 88486 and 88497?
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 88486 and 88497 is 7830745542.
LCM(88486,88497) = 7830745542
Least Common Multiple of 88486 and 88497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88486 and 88497, than apply into the LCM equation.
GCF(88486,88497) = 1
LCM(88486,88497) = ( 88486 × 88497) / 1
LCM(88486,88497) = 7830745542 / 1
LCM(88486,88497) = 7830745542
Least Common Multiple (LCM) of 88486 and 88497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88486 and 88497. First we will calculate the prime factors of 88486 and 88497.
Prime Factorization of 88486
Prime factors of 88486 are 2, 151, 293. Prime factorization of 88486 in exponential form is:
88486 = 21 × 1511 × 2931
Prime Factorization of 88497
Prime factors of 88497 are 3, 9833. Prime factorization of 88497 in exponential form is:
88497 = 32 × 98331
Now multiplying the highest exponent prime factors to calculate the LCM of 88486 and 88497.
LCM(88486,88497) = 21 × 1511 × 2931 × 32 × 98331
LCM(88486,88497) = 7830745542
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