What is the Least Common Multiple of 62221 and 62229?
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 62221 and 62229 is 3871950609.
LCM(62221,62229) = 3871950609
Least Common Multiple of 62221 and 62229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62221 and 62229, than apply into the LCM equation.
GCF(62221,62229) = 1
LCM(62221,62229) = ( 62221 × 62229) / 1
LCM(62221,62229) = 3871950609 / 1
LCM(62221,62229) = 3871950609
Least Common Multiple (LCM) of 62221 and 62229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62221 and 62229. First we will calculate the prime factors of 62221 and 62229.
Prime Factorization of 62221
Prime factors of 62221 are 43, 1447. Prime factorization of 62221 in exponential form is:
62221 = 431 × 14471
Prime Factorization of 62229
Prime factors of 62229 are 3, 20743. Prime factorization of 62229 in exponential form is:
62229 = 31 × 207431
Now multiplying the highest exponent prime factors to calculate the LCM of 62221 and 62229.
LCM(62221,62229) = 431 × 14471 × 31 × 207431
LCM(62221,62229) = 3871950609
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