What is the Least Common Multiple of 88935 and 88940?

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 88935 and 88940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88935 and 88940, than apply into the LCM equation.

GCF(88935,88940) = 5
LCM(88935,88940) = ( 88935 × 88940) / 5
LCM(88935,88940) = 7909878900 / 5
LCM(88935,88940) = 1581975780

Least Common Multiple (LCM) of 88935 and 88940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88935 and 88940. First we will calculate the prime factors of 88935 and 88940.

Prime Factorization of 88935

Prime Factorization of 88940

Now multiplying the highest exponent prime factors to calculate the LCM of 88935 and 88940.

LCM(88935,88940) = 3¹ × 5¹ × 7² × 11² × 2² × 4447¹
LCM(88935,88940) = 1581975780