What is the Least Common Multiple of 20925 and 20942?
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 20925 and 20942 is 438211350.
LCM(20925,20942) = 438211350
Least Common Multiple of 20925 and 20942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20925 and 20942, than apply into the LCM equation.
GCF(20925,20942) = 1
LCM(20925,20942) = ( 20925 × 20942) / 1
LCM(20925,20942) = 438211350 / 1
LCM(20925,20942) = 438211350
Least Common Multiple (LCM) of 20925 and 20942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20925 and 20942. First we will calculate the prime factors of 20925 and 20942.
Prime Factorization of 20925
Prime factors of 20925 are 3, 5, 31. Prime factorization of 20925 in exponential form is:
20925 = 33 × 52 × 311
Prime Factorization of 20942
Prime factors of 20942 are 2, 37, 283. Prime factorization of 20942 in exponential form is:
20942 = 21 × 371 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 20925 and 20942.
LCM(20925,20942) = 33 × 52 × 311 × 21 × 371 × 2831
LCM(20925,20942) = 438211350
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