What is the Least Common Multiple of 88467 and 88478?
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 88467 and 88478 is 7827383226.
LCM(88467,88478) = 7827383226
Least Common Multiple of 88467 and 88478 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88467 and 88478, than apply into the LCM equation.
GCF(88467,88478) = 1
LCM(88467,88478) = ( 88467 × 88478) / 1
LCM(88467,88478) = 7827383226 / 1
LCM(88467,88478) = 7827383226
Least Common Multiple (LCM) of 88467 and 88478 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88467 and 88478. First we will calculate the prime factors of 88467 and 88478.
Prime Factorization of 88467
Prime factors of 88467 are 3, 37, 797. Prime factorization of 88467 in exponential form is:
88467 = 31 × 371 × 7971
Prime Factorization of 88478
Prime factors of 88478 are 2, 13, 41, 83. Prime factorization of 88478 in exponential form is:
88478 = 21 × 131 × 411 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 88467 and 88478.
LCM(88467,88478) = 31 × 371 × 7971 × 21 × 131 × 411 × 831
LCM(88467,88478) = 7827383226
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