What is the Least Common Multiple of 88140 and 88144?

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 88144 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 88144, than apply into the LCM equation.

GCF(88140,88144) = 4
LCM(88140,88144) = ( 88140 × 88144) / 4
LCM(88140,88144) = 7769012160 / 4
LCM(88140,88144) = 1942253040

Least Common Multiple (LCM) of 88140 and 88144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88140 and 88144. First we will calculate the prime factors of 88140 and 88144.

Prime Factorization of 88140

Prime Factorization of 88144

Now multiplying the highest exponent prime factors to calculate the LCM of 88140 and 88144.

LCM(88140,88144) = 2⁴ × 3¹ × 5¹ × 13¹ × 113¹ × 7¹ × 787¹
LCM(88140,88144) = 1942253040