What is the Least Common Multiple of 60187 and 60193?
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 60187 and 60193 is 3622836091.
LCM(60187,60193) = 3622836091
Least Common Multiple of 60187 and 60193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60187 and 60193, than apply into the LCM equation.
GCF(60187,60193) = 1
LCM(60187,60193) = ( 60187 × 60193) / 1
LCM(60187,60193) = 3622836091 / 1
LCM(60187,60193) = 3622836091
Least Common Multiple (LCM) of 60187 and 60193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60187 and 60193. First we will calculate the prime factors of 60187 and 60193.
Prime Factorization of 60187
Prime factors of 60187 are 139, 433. Prime factorization of 60187 in exponential form is:
60187 = 1391 × 4331
Prime Factorization of 60193
Prime factors of 60193 are 7, 8599. Prime factorization of 60193 in exponential form is:
60193 = 71 × 85991
Now multiplying the highest exponent prime factors to calculate the LCM of 60187 and 60193.
LCM(60187,60193) = 1391 × 4331 × 71 × 85991
LCM(60187,60193) = 3622836091
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