What is the Least Common Multiple of 20948 and 20955?
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 20948 and 20955 is 438965340.
LCM(20948,20955) = 438965340
Least Common Multiple of 20948 and 20955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20948 and 20955, than apply into the LCM equation.
GCF(20948,20955) = 1
LCM(20948,20955) = ( 20948 × 20955) / 1
LCM(20948,20955) = 438965340 / 1
LCM(20948,20955) = 438965340
Least Common Multiple (LCM) of 20948 and 20955 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20948 and 20955. First we will calculate the prime factors of 20948 and 20955.
Prime Factorization of 20948
Prime factors of 20948 are 2, 5237. Prime factorization of 20948 in exponential form is:
20948 = 22 × 52371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 20948 and 20955.
LCM(20948,20955) = 22 × 52371 × 31 × 51 × 111 × 1271
LCM(20948,20955) = 438965340
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