What is the Least Common Multiple of 88035 and 88040?

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 88035 and 88040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88035 and 88040, than apply into the LCM equation.

GCF(88035,88040) = 5
LCM(88035,88040) = ( 88035 × 88040) / 5
LCM(88035,88040) = 7750601400 / 5
LCM(88035,88040) = 1550120280

Least Common Multiple (LCM) of 88035 and 88040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88035 and 88040. First we will calculate the prime factors of 88035 and 88040.

Prime Factorization of 88035

Prime Factorization of 88040

Now multiplying the highest exponent prime factors to calculate the LCM of 88035 and 88040.

LCM(88035,88040) = 3¹ × 5¹ × 5869¹ × 2³ × 31¹ × 71¹
LCM(88035,88040) = 1550120280