What is the Least Common Multiple of 60197 and 60215?
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 60197 and 60215 is 3624762355.
LCM(60197,60215) = 3624762355
Least Common Multiple of 60197 and 60215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60197 and 60215, than apply into the LCM equation.
GCF(60197,60215) = 1
LCM(60197,60215) = ( 60197 × 60215) / 1
LCM(60197,60215) = 3624762355 / 1
LCM(60197,60215) = 3624762355
Least Common Multiple (LCM) of 60197 and 60215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60197 and 60215. First we will calculate the prime factors of 60197 and 60215.
Prime Factorization of 60197
Prime factors of 60197 are 17, 3541. Prime factorization of 60197 in exponential form is:
60197 = 171 × 35411
Prime Factorization of 60215
Prime factors of 60215 are 5, 12043. Prime factorization of 60215 in exponential form is:
60215 = 51 × 120431
Now multiplying the highest exponent prime factors to calculate the LCM of 60197 and 60215.
LCM(60197,60215) = 171 × 35411 × 51 × 120431
LCM(60197,60215) = 3624762355
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