What is the Least Common Multiple of 60293 and 60299?
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 60293 and 60299 is 3635607607.
LCM(60293,60299) = 3635607607
Least Common Multiple of 60293 and 60299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60293 and 60299, than apply into the LCM equation.
GCF(60293,60299) = 1
LCM(60293,60299) = ( 60293 × 60299) / 1
LCM(60293,60299) = 3635607607 / 1
LCM(60293,60299) = 3635607607
Least Common Multiple (LCM) of 60293 and 60299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60293 and 60299. First we will calculate the prime factors of 60293 and 60299.
Prime Factorization of 60293
Prime factors of 60293 are 60293. Prime factorization of 60293 in exponential form is:
60293 = 602931
Prime Factorization of 60299
Prime factors of 60299 are 17, 3547. Prime factorization of 60299 in exponential form is:
60299 = 171 × 35471
Now multiplying the highest exponent prime factors to calculate the LCM of 60293 and 60299.
LCM(60293,60299) = 602931 × 171 × 35471
LCM(60293,60299) = 3635607607
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