What is the Least Common Multiple of 28032 and 28042?

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 of 28032 and 28042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28032 and 28042, than apply into the LCM equation.

GCF(28032,28042) = 2
LCM(28032,28042) = ( 28032 × 28042) / 2
LCM(28032,28042) = 786073344 / 2
LCM(28032,28042) = 393036672

Least Common Multiple (LCM) of 28032 and 28042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28032 and 28042. First we will calculate the prime factors of 28032 and 28042.

Prime Factorization of 28032

Prime Factorization of 28042

Now multiplying the highest exponent prime factors to calculate the LCM of 28032 and 28042.

LCM(28032,28042) = 2⁷ × 3¹ × 73¹ × 7¹ × 2003¹
LCM(28032,28042) = 393036672