What is the Least Common Multiple of 20074 and 20080?
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 20074 and 20080 is 201542960.
LCM(20074,20080) = 201542960
Least Common Multiple of 20074 and 20080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20074 and 20080, than apply into the LCM equation.
GCF(20074,20080) = 2
LCM(20074,20080) = ( 20074 × 20080) / 2
LCM(20074,20080) = 403085920 / 2
LCM(20074,20080) = 201542960
Least Common Multiple (LCM) of 20074 and 20080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20074 and 20080. First we will calculate the prime factors of 20074 and 20080.
Prime Factorization of 20074
Prime factors of 20074 are 2, 10037. Prime factorization of 20074 in exponential form is:
20074 = 21 × 100371
Prime Factorization of 20080
Prime factors of 20080 are 2, 5, 251. Prime factorization of 20080 in exponential form is:
20080 = 24 × 51 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 20074 and 20080.
LCM(20074,20080) = 24 × 100371 × 51 × 2511
LCM(20074,20080) = 201542960
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