What is the Least Common Multiple of 88540 and 88544?

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 88540 and 88544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88540 and 88544, than apply into the LCM equation.

GCF(88540,88544) = 4
LCM(88540,88544) = ( 88540 × 88544) / 4
LCM(88540,88544) = 7839685760 / 4
LCM(88540,88544) = 1959921440

Least Common Multiple (LCM) of 88540 and 88544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88540 and 88544. First we will calculate the prime factors of 88540 and 88544.

Prime Factorization of 88540

Prime Factorization of 88544

Now multiplying the highest exponent prime factors to calculate the LCM of 88540 and 88544.

LCM(88540,88544) = 2⁵ × 5¹ × 19¹ × 233¹ × 2767¹
LCM(88540,88544) = 1959921440