What is the Least Common Multiple of 60649 and 60658?
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 60649 and 60658 is 3678847042.
LCM(60649,60658) = 3678847042
Least Common Multiple of 60649 and 60658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60649 and 60658, than apply into the LCM equation.
GCF(60649,60658) = 1
LCM(60649,60658) = ( 60649 × 60658) / 1
LCM(60649,60658) = 3678847042 / 1
LCM(60649,60658) = 3678847042
Least Common Multiple (LCM) of 60649 and 60658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60649 and 60658. First we will calculate the prime factors of 60649 and 60658.
Prime Factorization of 60649
Prime factors of 60649 are 60649. Prime factorization of 60649 in exponential form is:
60649 = 606491
Prime Factorization of 60658
Prime factors of 60658 are 2, 13, 2333. Prime factorization of 60658 in exponential form is:
60658 = 21 × 131 × 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 60649 and 60658.
LCM(60649,60658) = 606491 × 21 × 131 × 23331
LCM(60649,60658) = 3678847042
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