What is the Least Common Multiple of 28118 and 28138?
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 28118 and 28138 is 395592142.
LCM(28118,28138) = 395592142
Least Common Multiple of 28118 and 28138 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28118 and 28138, than apply into the LCM equation.
GCF(28118,28138) = 2
LCM(28118,28138) = ( 28118 × 28138) / 2
LCM(28118,28138) = 791184284 / 2
LCM(28118,28138) = 395592142
Least Common Multiple (LCM) of 28118 and 28138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28118 and 28138. First we will calculate the prime factors of 28118 and 28138.
Prime Factorization of 28118
Prime factors of 28118 are 2, 17, 827. Prime factorization of 28118 in exponential form is:
28118 = 21 × 171 × 8271
Prime Factorization of 28138
Prime factors of 28138 are 2, 11, 1279. Prime factorization of 28138 in exponential form is:
28138 = 21 × 111 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 28118 and 28138.
LCM(28118,28138) = 21 × 171 × 8271 × 111 × 12791
LCM(28118,28138) = 395592142
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