What is the Least Common Multiple of 88740 and 88749?

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 88749 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 88749, than apply into the LCM equation.

GCF(88740,88749) = 9
LCM(88740,88749) = ( 88740 × 88749) / 9
LCM(88740,88749) = 7875586260 / 9
LCM(88740,88749) = 875065140

Least Common Multiple (LCM) of 88740 and 88749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88740 and 88749. First we will calculate the prime factors of 88740 and 88749.

Prime Factorization of 88740

Prime Factorization of 88749

Now multiplying the highest exponent prime factors to calculate the LCM of 88740 and 88749.

LCM(88740,88749) = 2² × 3³ × 5¹ × 17¹ × 29¹ × 19¹ × 173¹
LCM(88740,88749) = 875065140