What is the Least Common Multiple of 68992 and 68999?
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 68992 and 68999 is 680054144.
LCM(68992,68999) = 680054144
Least Common Multiple of 68992 and 68999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68992 and 68999, than apply into the LCM equation.
GCF(68992,68999) = 7
LCM(68992,68999) = ( 68992 × 68999) / 7
LCM(68992,68999) = 4760379008 / 7
LCM(68992,68999) = 680054144
Least Common Multiple (LCM) of 68992 and 68999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68992 and 68999. First we will calculate the prime factors of 68992 and 68999.
Prime Factorization of 68992
Prime factors of 68992 are 2, 7, 11. Prime factorization of 68992 in exponential form is:
68992 = 27 × 72 × 111
Prime Factorization of 68999
Prime factors of 68999 are 7, 9857. Prime factorization of 68999 in exponential form is:
68999 = 71 × 98571
Now multiplying the highest exponent prime factors to calculate the LCM of 68992 and 68999.
LCM(68992,68999) = 27 × 72 × 111 × 98571
LCM(68992,68999) = 680054144
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