What is the Least Common Multiple of 60262 and 60273?
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 60262 and 60273 is 3632171526.
LCM(60262,60273) = 3632171526
Least Common Multiple of 60262 and 60273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60262 and 60273, than apply into the LCM equation.
GCF(60262,60273) = 1
LCM(60262,60273) = ( 60262 × 60273) / 1
LCM(60262,60273) = 3632171526 / 1
LCM(60262,60273) = 3632171526
Least Common Multiple (LCM) of 60262 and 60273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60262 and 60273. First we will calculate the prime factors of 60262 and 60273.
Prime Factorization of 60262
Prime factors of 60262 are 2, 29, 1039. Prime factorization of 60262 in exponential form is:
60262 = 21 × 291 × 10391
Prime Factorization of 60273
Prime factors of 60273 are 3, 37, 181. Prime factorization of 60273 in exponential form is:
60273 = 32 × 371 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 60262 and 60273.
LCM(60262,60273) = 21 × 291 × 10391 × 32 × 371 × 1811
LCM(60262,60273) = 3632171526
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