What is the Least Common Multiple of 88040 and 88051?

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 88040 and 88051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88040 and 88051, than apply into the LCM equation.

GCF(88040,88051) = 1
LCM(88040,88051) = ( 88040 × 88051) / 1
LCM(88040,88051) = 7752010040 / 1
LCM(88040,88051) = 7752010040

Least Common Multiple (LCM) of 88040 and 88051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88040 and 88051. First we will calculate the prime factors of 88040 and 88051.

Prime Factorization of 88040

Prime Factorization of 88051

Now multiplying the highest exponent prime factors to calculate the LCM of 88040 and 88051.

LCM(88040,88051) = 2³ × 5¹ × 31¹ × 71¹ × 191¹ × 461¹
LCM(88040,88051) = 7752010040