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What is the Least Common Multiple of 28060 and 28075?

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 28060 and 28075 is 157556900.

LCM(28060,28075) = 157556900

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Least Common Multiple of 28060 and 28075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28060 and 28075, than apply into the LCM equation.

GCF(28060,28075) = 5
LCM(28060,28075) = ( 28060 × 28075) / 5
LCM(28060,28075) = 787784500 / 5
LCM(28060,28075) = 157556900

Least Common Multiple (LCM) of 28060 and 28075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28060 and 28075. First we will calculate the prime factors of 28060 and 28075.

Prime Factorization of 28060

Prime factors of 28060 are 2, 5, 23, 61. Prime factorization of 28060 in exponential form is:

28060 = 22 × 51 × 231 × 611

Prime Factorization of 28075

Prime factors of 28075 are 5, 1123. Prime factorization of 28075 in exponential form is:

28075 = 52 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 28060 and 28075.

LCM(28060,28075) = 22 × 52 × 231 × 611 × 11231
LCM(28060,28075) = 157556900