What is the Least Common Multiple of 60199 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 60199 and 60218 is 3625063382.
LCM(60199,60218) = 3625063382
Least Common Multiple of 60199 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 60199 and 60218, than apply into the LCM equation.
GCF(60199,60218) = 1
LCM(60199,60218) = ( 60199 × 60218) / 1
LCM(60199,60218) = 3625063382 / 1
LCM(60199,60218) = 3625063382
Least Common Multiple (LCM) of 60199 and 60218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60199 and 60218. First we will calculate the prime factors of 60199 and 60218.
Prime Factorization of 60199
Prime factors of 60199 are 37, 1627. Prime factorization of 60199 in exponential form is:
60199 = 371 × 16271
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 60199 and 60218.
LCM(60199,60218) = 371 × 16271 × 21 × 301091
LCM(60199,60218) = 3625063382
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