What is the Least Common Multiple of 60892 and 60899?
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 60892 and 60899 is 3708261908.
LCM(60892,60899) = 3708261908
Least Common Multiple of 60892 and 60899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60892 and 60899, than apply into the LCM equation.
GCF(60892,60899) = 1
LCM(60892,60899) = ( 60892 × 60899) / 1
LCM(60892,60899) = 3708261908 / 1
LCM(60892,60899) = 3708261908
Least Common Multiple (LCM) of 60892 and 60899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60892 and 60899. First we will calculate the prime factors of 60892 and 60899.
Prime Factorization of 60892
Prime factors of 60892 are 2, 13, 1171. Prime factorization of 60892 in exponential form is:
60892 = 22 × 131 × 11711
Prime Factorization of 60899
Prime factors of 60899 are 60899. Prime factorization of 60899 in exponential form is:
60899 = 608991
Now multiplying the highest exponent prime factors to calculate the LCM of 60892 and 60899.
LCM(60892,60899) = 22 × 131 × 11711 × 608991
LCM(60892,60899) = 3708261908
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