What is the Least Common Multiple of 92620 and 92626?
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 92620 and 92626 is 4289510060.
LCM(92620,92626) = 4289510060
Least Common Multiple of 92620 and 92626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92620 and 92626, than apply into the LCM equation.
GCF(92620,92626) = 2
LCM(92620,92626) = ( 92620 × 92626) / 2
LCM(92620,92626) = 8579020120 / 2
LCM(92620,92626) = 4289510060
Least Common Multiple (LCM) of 92620 and 92626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92620 and 92626. First we will calculate the prime factors of 92620 and 92626.
Prime Factorization of 92620
Prime factors of 92620 are 2, 5, 11, 421. Prime factorization of 92620 in exponential form is:
92620 = 22 × 51 × 111 × 4211
Prime Factorization of 92626
Prime factors of 92626 are 2, 29, 1597. Prime factorization of 92626 in exponential form is:
92626 = 21 × 291 × 15971
Now multiplying the highest exponent prime factors to calculate the LCM of 92620 and 92626.
LCM(92620,92626) = 22 × 51 × 111 × 4211 × 291 × 15971
LCM(92620,92626) = 4289510060
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