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What is the Least Common Multiple of 28160 and 28169?

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 28160 and 28169 is 793239040.

LCM(28160,28169) = 793239040

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Least Common Multiple of 28160 and 28169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28160 and 28169, than apply into the LCM equation.

GCF(28160,28169) = 1
LCM(28160,28169) = ( 28160 × 28169) / 1
LCM(28160,28169) = 793239040 / 1
LCM(28160,28169) = 793239040

Least Common Multiple (LCM) of 28160 and 28169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28160 and 28169. First we will calculate the prime factors of 28160 and 28169.

Prime Factorization of 28160

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

28160 = 29 × 51 × 111

Prime Factorization of 28169

Prime factors of 28169 are 17, 1657. Prime factorization of 28169 in exponential form is:

28169 = 171 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 28160 and 28169.

LCM(28160,28169) = 29 × 51 × 111 × 171 × 16571
LCM(28160,28169) = 793239040