What is the Least Common Multiple of 29641 and 29649?
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 29641 and 29649 is 878826009.
LCM(29641,29649) = 878826009
Least Common Multiple of 29641 and 29649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29641 and 29649, than apply into the LCM equation.
GCF(29641,29649) = 1
LCM(29641,29649) = ( 29641 × 29649) / 1
LCM(29641,29649) = 878826009 / 1
LCM(29641,29649) = 878826009
Least Common Multiple (LCM) of 29641 and 29649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29641 and 29649. First we will calculate the prime factors of 29641 and 29649.
Prime Factorization of 29641
Prime factors of 29641 are 29641. Prime factorization of 29641 in exponential form is:
29641 = 296411
Prime Factorization of 29649
Prime factors of 29649 are 3, 9883. Prime factorization of 29649 in exponential form is:
29649 = 31 × 98831
Now multiplying the highest exponent prime factors to calculate the LCM of 29641 and 29649.
LCM(29641,29649) = 296411 × 31 × 98831
LCM(29641,29649) = 878826009
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