What is the Least Common Multiple of 20955 and 20959?
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 20955 and 20959 is 439195845.
LCM(20955,20959) = 439195845
Least Common Multiple of 20955 and 20959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20955 and 20959, than apply into the LCM equation.
GCF(20955,20959) = 1
LCM(20955,20959) = ( 20955 × 20959) / 1
LCM(20955,20959) = 439195845 / 1
LCM(20955,20959) = 439195845
Least Common Multiple (LCM) of 20955 and 20959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20955 and 20959. First we will calculate the prime factors of 20955 and 20959.
Prime Factorization of 20955
Prime factors of 20955 are 3, 5, 11, 127. Prime factorization of 20955 in exponential form is:
20955 = 31 × 51 × 111 × 1271
Prime Factorization of 20959
Prime factors of 20959 are 20959. Prime factorization of 20959 in exponential form is:
20959 = 209591
Now multiplying the highest exponent prime factors to calculate the LCM of 20955 and 20959.
LCM(20955,20959) = 31 × 51 × 111 × 1271 × 209591
LCM(20955,20959) = 439195845
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