What is the Least Common Multiple of 20066 and 20074?
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 20066 and 20074 is 201402442.
LCM(20066,20074) = 201402442
Least Common Multiple of 20066 and 20074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20066 and 20074, than apply into the LCM equation.
GCF(20066,20074) = 2
LCM(20066,20074) = ( 20066 × 20074) / 2
LCM(20066,20074) = 402804884 / 2
LCM(20066,20074) = 201402442
Least Common Multiple (LCM) of 20066 and 20074 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20066 and 20074. First we will calculate the prime factors of 20066 and 20074.
Prime Factorization of 20066
Prime factors of 20066 are 2, 79, 127. Prime factorization of 20066 in exponential form is:
20066 = 21 × 791 × 1271
Prime Factorization of 20074
Prime factors of 20074 are 2, 10037. Prime factorization of 20074 in exponential form is:
20074 = 21 × 100371
Now multiplying the highest exponent prime factors to calculate the LCM of 20066 and 20074.
LCM(20066,20074) = 21 × 791 × 1271 × 100371
LCM(20066,20074) = 201402442
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