What is the Least Common Multiple of 60649 and 60661?
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 60661 is 3679028989.
LCM(60649,60661) = 3679028989
Least Common Multiple of 60649 and 60661 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 60661, than apply into the LCM equation.
GCF(60649,60661) = 1
LCM(60649,60661) = ( 60649 × 60661) / 1
LCM(60649,60661) = 3679028989 / 1
LCM(60649,60661) = 3679028989
Least Common Multiple (LCM) of 60649 and 60661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60649 and 60661. First we will calculate the prime factors of 60649 and 60661.
Prime Factorization of 60649
Prime factors of 60649 are 60649. Prime factorization of 60649 in exponential form is:
60649 = 606491
Prime Factorization of 60661
Prime factors of 60661 are 60661. Prime factorization of 60661 in exponential form is:
60661 = 606611
Now multiplying the highest exponent prime factors to calculate the LCM of 60649 and 60661.
LCM(60649,60661) = 606491 × 606611
LCM(60649,60661) = 3679028989
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