What is the Least Common Multiple of 93655 and 93659?
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 93655 and 93659 is 8771633645.
LCM(93655,93659) = 8771633645
Least Common Multiple of 93655 and 93659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93655 and 93659, than apply into the LCM equation.
GCF(93655,93659) = 1
LCM(93655,93659) = ( 93655 × 93659) / 1
LCM(93655,93659) = 8771633645 / 1
LCM(93655,93659) = 8771633645
Least Common Multiple (LCM) of 93655 and 93659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93655 and 93659. First we will calculate the prime factors of 93655 and 93659.
Prime Factorization of 93655
Prime factors of 93655 are 5, 18731. Prime factorization of 93655 in exponential form is:
93655 = 51 × 187311
Prime Factorization of 93659
Prime factors of 93659 are 73, 1283. Prime factorization of 93659 in exponential form is:
93659 = 731 × 12831
Now multiplying the highest exponent prime factors to calculate the LCM of 93655 and 93659.
LCM(93655,93659) = 51 × 187311 × 731 × 12831
LCM(93655,93659) = 8771633645
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