What is the Least Common Multiple of 60443 and 60462?
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 60443 and 60462 is 3654504666.
LCM(60443,60462) = 3654504666
Least Common Multiple of 60443 and 60462 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60443 and 60462, than apply into the LCM equation.
GCF(60443,60462) = 1
LCM(60443,60462) = ( 60443 × 60462) / 1
LCM(60443,60462) = 3654504666 / 1
LCM(60443,60462) = 3654504666
Least Common Multiple (LCM) of 60443 and 60462 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60443 and 60462. First we will calculate the prime factors of 60443 and 60462.
Prime Factorization of 60443
Prime factors of 60443 are 60443. Prime factorization of 60443 in exponential form is:
60443 = 604431
Prime Factorization of 60462
Prime factors of 60462 are 2, 3, 3359. Prime factorization of 60462 in exponential form is:
60462 = 21 × 32 × 33591
Now multiplying the highest exponent prime factors to calculate the LCM of 60443 and 60462.
LCM(60443,60462) = 604431 × 21 × 32 × 33591
LCM(60443,60462) = 3654504666
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