What is the Least Common Multiple of 81052 and 81064?
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 81052 and 81064 is 1642599832.
LCM(81052,81064) = 1642599832
Least Common Multiple of 81052 and 81064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81052 and 81064, than apply into the LCM equation.
GCF(81052,81064) = 4
LCM(81052,81064) = ( 81052 × 81064) / 4
LCM(81052,81064) = 6570399328 / 4
LCM(81052,81064) = 1642599832
Least Common Multiple (LCM) of 81052 and 81064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81052 and 81064. First we will calculate the prime factors of 81052 and 81064.
Prime Factorization of 81052
Prime factors of 81052 are 2, 23, 881. Prime factorization of 81052 in exponential form is:
81052 = 22 × 231 × 8811
Prime Factorization of 81064
Prime factors of 81064 are 2, 10133. Prime factorization of 81064 in exponential form is:
81064 = 23 × 101331
Now multiplying the highest exponent prime factors to calculate the LCM of 81052 and 81064.
LCM(81052,81064) = 23 × 231 × 8811 × 101331
LCM(81052,81064) = 1642599832
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