What is the Least Common Multiple of 67513 and 67519?
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 67513 and 67519 is 4558410247.
LCM(67513,67519) = 4558410247
Least Common Multiple of 67513 and 67519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67513 and 67519, than apply into the LCM equation.
GCF(67513,67519) = 1
LCM(67513,67519) = ( 67513 × 67519) / 1
LCM(67513,67519) = 4558410247 / 1
LCM(67513,67519) = 4558410247
Least Common Multiple (LCM) of 67513 and 67519 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67513 and 67519. First we will calculate the prime factors of 67513 and 67519.
Prime Factorization of 67513
Prime factors of 67513 are 181, 373. Prime factorization of 67513 in exponential form is:
67513 = 1811 × 3731
Prime Factorization of 67519
Prime factors of 67519 are 251, 269. Prime factorization of 67519 in exponential form is:
67519 = 2511 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 67513 and 67519.
LCM(67513,67519) = 1811 × 3731 × 2511 × 2691
LCM(67513,67519) = 4558410247
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