What is the Least Common Multiple of 60197 and 60206?
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 60206 is 3624220582.
LCM(60197,60206) = 3624220582
Least Common Multiple of 60197 and 60206 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 60206, than apply into the LCM equation.
GCF(60197,60206) = 1
LCM(60197,60206) = ( 60197 × 60206) / 1
LCM(60197,60206) = 3624220582 / 1
LCM(60197,60206) = 3624220582
Least Common Multiple (LCM) of 60197 and 60206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60197 and 60206. First we will calculate the prime factors of 60197 and 60206.
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 60206
Prime factors of 60206 are 2, 30103. Prime factorization of 60206 in exponential form is:
60206 = 21 × 301031
Now multiplying the highest exponent prime factors to calculate the LCM of 60197 and 60206.
LCM(60197,60206) = 171 × 35411 × 21 × 301031
LCM(60197,60206) = 3624220582
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