What is the Least Common Multiple of 92649 and 92659?
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 92649 and 92659 is 8584763691.
LCM(92649,92659) = 8584763691
Least Common Multiple of 92649 and 92659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92649 and 92659, than apply into the LCM equation.
GCF(92649,92659) = 1
LCM(92649,92659) = ( 92649 × 92659) / 1
LCM(92649,92659) = 8584763691 / 1
LCM(92649,92659) = 8584763691
Least Common Multiple (LCM) of 92649 and 92659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92649 and 92659. First we will calculate the prime factors of 92649 and 92659.
Prime Factorization of 92649
Prime factors of 92649 are 3, 89, 347. Prime factorization of 92649 in exponential form is:
92649 = 31 × 891 × 3471
Prime Factorization of 92659
Prime factors of 92659 are 7, 31, 61. Prime factorization of 92659 in exponential form is:
92659 = 72 × 311 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 92649 and 92659.
LCM(92649,92659) = 31 × 891 × 3471 × 72 × 311 × 611
LCM(92649,92659) = 8584763691
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