What is the Least Common Multiple of 88740 and 88745?

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 88740 and 88745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88740 and 88745, than apply into the LCM equation.

GCF(88740,88745) = 5
LCM(88740,88745) = ( 88740 × 88745) / 5
LCM(88740,88745) = 7875231300 / 5
LCM(88740,88745) = 1575046260

Least Common Multiple (LCM) of 88740 and 88745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88740 and 88745. First we will calculate the prime factors of 88740 and 88745.

Prime Factorization of 88740

Prime Factorization of 88745

Now multiplying the highest exponent prime factors to calculate the LCM of 88740 and 88745.

LCM(88740,88745) = 2² × 3² × 5¹ × 17¹ × 29¹ × 17749¹
LCM(88740,88745) = 1575046260