What is the Least Common Multiple of 60271 and 60282?
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 60271 and 60282 is 3633256422.
LCM(60271,60282) = 3633256422
Least Common Multiple of 60271 and 60282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60271 and 60282, than apply into the LCM equation.
GCF(60271,60282) = 1
LCM(60271,60282) = ( 60271 × 60282) / 1
LCM(60271,60282) = 3633256422 / 1
LCM(60271,60282) = 3633256422
Least Common Multiple (LCM) of 60271 and 60282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60271 and 60282. First we will calculate the prime factors of 60271 and 60282.
Prime Factorization of 60271
Prime factors of 60271 are 60271. Prime factorization of 60271 in exponential form is:
60271 = 602711
Prime Factorization of 60282
Prime factors of 60282 are 2, 3, 17, 197. Prime factorization of 60282 in exponential form is:
60282 = 21 × 32 × 171 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 60271 and 60282.
LCM(60271,60282) = 602711 × 21 × 32 × 171 × 1971
LCM(60271,60282) = 3633256422
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