What is the Least Common Multiple of 60177 and 60184?
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 60177 and 60184 is 3621692568.
LCM(60177,60184) = 3621692568
Least Common Multiple of 60177 and 60184 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60177 and 60184, than apply into the LCM equation.
GCF(60177,60184) = 1
LCM(60177,60184) = ( 60177 × 60184) / 1
LCM(60177,60184) = 3621692568 / 1
LCM(60177,60184) = 3621692568
Least Common Multiple (LCM) of 60177 and 60184 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60177 and 60184. First we will calculate the prime factors of 60177 and 60184.
Prime Factorization of 60177
Prime factors of 60177 are 3, 13, 1543. Prime factorization of 60177 in exponential form is:
60177 = 31 × 131 × 15431
Prime Factorization of 60184
Prime factors of 60184 are 2, 7523. Prime factorization of 60184 in exponential form is:
60184 = 23 × 75231
Now multiplying the highest exponent prime factors to calculate the LCM of 60177 and 60184.
LCM(60177,60184) = 31 × 131 × 15431 × 23 × 75231
LCM(60177,60184) = 3621692568
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