What is the Least Common Multiple of 88694 and 88707?
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 88694 and 88707 is 7867778658.
LCM(88694,88707) = 7867778658
Least Common Multiple of 88694 and 88707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88694 and 88707, than apply into the LCM equation.
GCF(88694,88707) = 1
LCM(88694,88707) = ( 88694 × 88707) / 1
LCM(88694,88707) = 7867778658 / 1
LCM(88694,88707) = 7867778658
Least Common Multiple (LCM) of 88694 and 88707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88694 and 88707. First we will calculate the prime factors of 88694 and 88707.
Prime Factorization of 88694
Prime factors of 88694 are 2, 61, 727. Prime factorization of 88694 in exponential form is:
88694 = 21 × 611 × 7271
Prime Factorization of 88707
Prime factors of 88707 are 3, 29569. Prime factorization of 88707 in exponential form is:
88707 = 31 × 295691
Now multiplying the highest exponent prime factors to calculate the LCM of 88694 and 88707.
LCM(88694,88707) = 21 × 611 × 7271 × 31 × 295691
LCM(88694,88707) = 7867778658
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