What is the Least Common Multiple of 60895 and 60910?
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 60895 and 60910 is 741822890.
LCM(60895,60910) = 741822890
Least Common Multiple of 60895 and 60910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60895 and 60910, than apply into the LCM equation.
GCF(60895,60910) = 5
LCM(60895,60910) = ( 60895 × 60910) / 5
LCM(60895,60910) = 3709114450 / 5
LCM(60895,60910) = 741822890
Least Common Multiple (LCM) of 60895 and 60910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60895 and 60910. First we will calculate the prime factors of 60895 and 60910.
Prime Factorization of 60895
Prime factors of 60895 are 5, 19, 641. Prime factorization of 60895 in exponential form is:
60895 = 51 × 191 × 6411
Prime Factorization of 60910
Prime factors of 60910 are 2, 5, 6091. Prime factorization of 60910 in exponential form is:
60910 = 21 × 51 × 60911
Now multiplying the highest exponent prime factors to calculate the LCM of 60895 and 60910.
LCM(60895,60910) = 51 × 191 × 6411 × 21 × 60911
LCM(60895,60910) = 741822890
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