What is the Least Common Multiple of 92691 and 92701?
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 92691 and 92701 is 8592548391.
LCM(92691,92701) = 8592548391
Least Common Multiple of 92691 and 92701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92691 and 92701, than apply into the LCM equation.
GCF(92691,92701) = 1
LCM(92691,92701) = ( 92691 × 92701) / 1
LCM(92691,92701) = 8592548391 / 1
LCM(92691,92701) = 8592548391
Least Common Multiple (LCM) of 92691 and 92701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92691 and 92701. First we will calculate the prime factors of 92691 and 92701.
Prime Factorization of 92691
Prime factors of 92691 are 3, 3433. Prime factorization of 92691 in exponential form is:
92691 = 33 × 34331
Prime Factorization of 92701
Prime factors of 92701 are 7, 17, 19, 41. Prime factorization of 92701 in exponential form is:
92701 = 71 × 171 × 191 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 92691 and 92701.
LCM(92691,92701) = 33 × 34331 × 71 × 171 × 191 × 411
LCM(92691,92701) = 8592548391
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