What is the Least Common Multiple of 88485 and 88492?

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 88485 and 88492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88485 and 88492, than apply into the LCM equation.

GCF(88485,88492) = 1
LCM(88485,88492) = ( 88485 × 88492) / 1
LCM(88485,88492) = 7830214620 / 1
LCM(88485,88492) = 7830214620

Least Common Multiple (LCM) of 88485 and 88492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88485 and 88492. First we will calculate the prime factors of 88485 and 88492.

Prime Factorization of 88485

Prime Factorization of 88492

Now multiplying the highest exponent prime factors to calculate the LCM of 88485 and 88492.

LCM(88485,88492) = 3¹ × 5¹ × 17¹ × 347¹ × 2² × 22123¹
LCM(88485,88492) = 7830214620