What is the Least Common Multiple of 29430 and 29442?
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 29430 and 29442 is 144413010.
LCM(29430,29442) = 144413010
Least Common Multiple of 29430 and 29442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29430 and 29442, than apply into the LCM equation.
GCF(29430,29442) = 6
LCM(29430,29442) = ( 29430 × 29442) / 6
LCM(29430,29442) = 866478060 / 6
LCM(29430,29442) = 144413010
Least Common Multiple (LCM) of 29430 and 29442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29430 and 29442. First we will calculate the prime factors of 29430 and 29442.
Prime Factorization of 29430
Prime factors of 29430 are 2, 3, 5, 109. Prime factorization of 29430 in exponential form is:
29430 = 21 × 33 × 51 × 1091
Prime Factorization of 29442
Prime factors of 29442 are 2, 3, 7, 701. Prime factorization of 29442 in exponential form is:
29442 = 21 × 31 × 71 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 29430 and 29442.
LCM(29430,29442) = 21 × 33 × 51 × 1091 × 71 × 7011
LCM(29430,29442) = 144413010
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