What is the Least Common Multiple of 92572 and 92578?
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 92572 and 92578 is 4285065308.
LCM(92572,92578) = 4285065308
Least Common Multiple of 92572 and 92578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92572 and 92578, than apply into the LCM equation.
GCF(92572,92578) = 2
LCM(92572,92578) = ( 92572 × 92578) / 2
LCM(92572,92578) = 8570130616 / 2
LCM(92572,92578) = 4285065308
Least Common Multiple (LCM) of 92572 and 92578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92572 and 92578. First we will calculate the prime factors of 92572 and 92578.
Prime Factorization of 92572
Prime factors of 92572 are 2, 23143. Prime factorization of 92572 in exponential form is:
92572 = 22 × 231431
Prime Factorization of 92578
Prime factors of 92578 are 2, 41, 1129. Prime factorization of 92578 in exponential form is:
92578 = 21 × 411 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 92572 and 92578.
LCM(92572,92578) = 22 × 231431 × 411 × 11291
LCM(92572,92578) = 4285065308
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