What is the Least Common Multiple of 60209 and 60218?
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 60209 and 60218 is 3625665562.
LCM(60209,60218) = 3625665562
Least Common Multiple of 60209 and 60218 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60209 and 60218, than apply into the LCM equation.
GCF(60209,60218) = 1
LCM(60209,60218) = ( 60209 × 60218) / 1
LCM(60209,60218) = 3625665562 / 1
LCM(60209,60218) = 3625665562
Least Common Multiple (LCM) of 60209 and 60218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60209 and 60218. First we will calculate the prime factors of 60209 and 60218.
Prime Factorization of 60209
Prime factors of 60209 are 60209. Prime factorization of 60209 in exponential form is:
60209 = 602091
Prime Factorization of 60218
Prime factors of 60218 are 2, 30109. Prime factorization of 60218 in exponential form is:
60218 = 21 × 301091
Now multiplying the highest exponent prime factors to calculate the LCM of 60209 and 60218.
LCM(60209,60218) = 602091 × 21 × 301091
LCM(60209,60218) = 3625665562
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