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What is the Least Common Multiple of 28148 and 28160?

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 28148 and 28160 is 198161920.

LCM(28148,28160) = 198161920

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Least Common Multiple of 28148 and 28160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28148 and 28160, than apply into the LCM equation.

GCF(28148,28160) = 4
LCM(28148,28160) = ( 28148 × 28160) / 4
LCM(28148,28160) = 792647680 / 4
LCM(28148,28160) = 198161920

Least Common Multiple (LCM) of 28148 and 28160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28148 and 28160. First we will calculate the prime factors of 28148 and 28160.

Prime Factorization of 28148

Prime factors of 28148 are 2, 31, 227. Prime factorization of 28148 in exponential form is:

28148 = 22 × 311 × 2271

Prime Factorization of 28160

Prime factors of 28160 are 2, 5, 11. Prime factorization of 28160 in exponential form is:

28160 = 29 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 28148 and 28160.

LCM(28148,28160) = 29 × 311 × 2271 × 51 × 111
LCM(28148,28160) = 198161920