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What is the Least Common Multiple of 28455 and 28475?

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 28455 and 28475 is 162051225.

LCM(28455,28475) = 162051225

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Least Common Multiple of 28455 and 28475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28455 and 28475, than apply into the LCM equation.

GCF(28455,28475) = 5
LCM(28455,28475) = ( 28455 × 28475) / 5
LCM(28455,28475) = 810256125 / 5
LCM(28455,28475) = 162051225

Least Common Multiple (LCM) of 28455 and 28475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28455 and 28475. First we will calculate the prime factors of 28455 and 28475.

Prime Factorization of 28455

Prime factors of 28455 are 3, 5, 7, 271. Prime factorization of 28455 in exponential form is:

28455 = 31 × 51 × 71 × 2711

Prime Factorization of 28475

Prime factors of 28475 are 5, 17, 67. Prime factorization of 28475 in exponential form is:

28475 = 52 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 28455 and 28475.

LCM(28455,28475) = 31 × 52 × 71 × 2711 × 171 × 671
LCM(28455,28475) = 162051225