What is the Least Common Multiple of 60881 and 60885?
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 60881 and 60885 is 3706739685.
LCM(60881,60885) = 3706739685
Least Common Multiple of 60881 and 60885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60881 and 60885, than apply into the LCM equation.
GCF(60881,60885) = 1
LCM(60881,60885) = ( 60881 × 60885) / 1
LCM(60881,60885) = 3706739685 / 1
LCM(60881,60885) = 3706739685
Least Common Multiple (LCM) of 60881 and 60885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60881 and 60885. First we will calculate the prime factors of 60881 and 60885.
Prime Factorization of 60881
Prime factors of 60881 are 23, 2647. Prime factorization of 60881 in exponential form is:
60881 = 231 × 26471
Prime Factorization of 60885
Prime factors of 60885 are 3, 5, 11, 41. Prime factorization of 60885 in exponential form is:
60885 = 33 × 51 × 111 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 60881 and 60885.
LCM(60881,60885) = 231 × 26471 × 33 × 51 × 111 × 411
LCM(60881,60885) = 3706739685
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