What is the Least Common Multiple of 29213 and 29219?
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 29213 and 29219 is 853574647.
LCM(29213,29219) = 853574647
Least Common Multiple of 29213 and 29219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29213 and 29219, than apply into the LCM equation.
GCF(29213,29219) = 1
LCM(29213,29219) = ( 29213 × 29219) / 1
LCM(29213,29219) = 853574647 / 1
LCM(29213,29219) = 853574647
Least Common Multiple (LCM) of 29213 and 29219 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29213 and 29219. First we will calculate the prime factors of 29213 and 29219.
Prime Factorization of 29213
Prime factors of 29213 are 131, 223. Prime factorization of 29213 in exponential form is:
29213 = 1311 × 2231
Prime Factorization of 29219
Prime factors of 29219 are 61, 479. Prime factorization of 29219 in exponential form is:
29219 = 611 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 29213 and 29219.
LCM(29213,29219) = 1311 × 2231 × 611 × 4791
LCM(29213,29219) = 853574647
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