What is the Least Common Multiple of 29615 and 29622?
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 29615 and 29622 is 877255530.
LCM(29615,29622) = 877255530
Least Common Multiple of 29615 and 29622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29615 and 29622, than apply into the LCM equation.
GCF(29615,29622) = 1
LCM(29615,29622) = ( 29615 × 29622) / 1
LCM(29615,29622) = 877255530 / 1
LCM(29615,29622) = 877255530
Least Common Multiple (LCM) of 29615 and 29622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29615 and 29622. First we will calculate the prime factors of 29615 and 29622.
Prime Factorization of 29615
Prime factors of 29615 are 5, 5923. Prime factorization of 29615 in exponential form is:
29615 = 51 × 59231
Prime Factorization of 29622
Prime factors of 29622 are 2, 3, 4937. Prime factorization of 29622 in exponential form is:
29622 = 21 × 31 × 49371
Now multiplying the highest exponent prime factors to calculate the LCM of 29615 and 29622.
LCM(29615,29622) = 51 × 59231 × 21 × 31 × 49371
LCM(29615,29622) = 877255530
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