What is the Least Common Multiple of 81615 and 81626?
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 81615 and 81626 is 6661905990.
LCM(81615,81626) = 6661905990
Least Common Multiple of 81615 and 81626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81615 and 81626, than apply into the LCM equation.
GCF(81615,81626) = 1
LCM(81615,81626) = ( 81615 × 81626) / 1
LCM(81615,81626) = 6661905990 / 1
LCM(81615,81626) = 6661905990
Least Common Multiple (LCM) of 81615 and 81626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81615 and 81626. First we will calculate the prime factors of 81615 and 81626.
Prime Factorization of 81615
Prime factors of 81615 are 3, 5, 5441. Prime factorization of 81615 in exponential form is:
81615 = 31 × 51 × 54411
Prime Factorization of 81626
Prime factors of 81626 are 2, 40813. Prime factorization of 81626 in exponential form is:
81626 = 21 × 408131
Now multiplying the highest exponent prime factors to calculate the LCM of 81615 and 81626.
LCM(81615,81626) = 31 × 51 × 54411 × 21 × 408131
LCM(81615,81626) = 6661905990
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