What is the Least Common Multiple of 60649 and 60653?
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 60653 is 3678543797.
LCM(60649,60653) = 3678543797
Least Common Multiple of 60649 and 60653 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 60653, than apply into the LCM equation.
GCF(60649,60653) = 1
LCM(60649,60653) = ( 60649 × 60653) / 1
LCM(60649,60653) = 3678543797 / 1
LCM(60649,60653) = 3678543797
Least Common Multiple (LCM) of 60649 and 60653 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60649 and 60653. First we will calculate the prime factors of 60649 and 60653.
Prime Factorization of 60649
Prime factors of 60649 are 60649. Prime factorization of 60649 in exponential form is:
60649 = 606491
Prime Factorization of 60653
Prime factors of 60653 are 131, 463. Prime factorization of 60653 in exponential form is:
60653 = 1311 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 60649 and 60653.
LCM(60649,60653) = 606491 × 1311 × 4631
LCM(60649,60653) = 3678543797
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