What is the Least Common Multiple of 60260 and 60278?
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 60260 and 60278 is 1816176140.
LCM(60260,60278) = 1816176140
Least Common Multiple of 60260 and 60278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60260 and 60278, than apply into the LCM equation.
GCF(60260,60278) = 2
LCM(60260,60278) = ( 60260 × 60278) / 2
LCM(60260,60278) = 3632352280 / 2
LCM(60260,60278) = 1816176140
Least Common Multiple (LCM) of 60260 and 60278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60260 and 60278. First we will calculate the prime factors of 60260 and 60278.
Prime Factorization of 60260
Prime factors of 60260 are 2, 5, 23, 131. Prime factorization of 60260 in exponential form is:
60260 = 22 × 51 × 231 × 1311
Prime Factorization of 60278
Prime factors of 60278 are 2, 30139. Prime factorization of 60278 in exponential form is:
60278 = 21 × 301391
Now multiplying the highest exponent prime factors to calculate the LCM of 60260 and 60278.
LCM(60260,60278) = 22 × 51 × 231 × 1311 × 301391
LCM(60260,60278) = 1816176140
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