What is the Least Common Multiple of 88140 and 88149?

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 88140 and 88149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88140 and 88149, than apply into the LCM equation.

GCF(88140,88149) = 3
LCM(88140,88149) = ( 88140 × 88149) / 3
LCM(88140,88149) = 7769452860 / 3
LCM(88140,88149) = 2589817620

Least Common Multiple (LCM) of 88140 and 88149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88140 and 88149. First we will calculate the prime factors of 88140 and 88149.

Prime Factorization of 88140

Prime Factorization of 88149

Now multiplying the highest exponent prime factors to calculate the LCM of 88140 and 88149.

LCM(88140,88149) = 2² × 3¹ × 5¹ × 13¹ × 113¹ × 29383¹
LCM(88140,88149) = 2589817620