What is the Least Common Multiple of 88774 and 88781?

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 88774 and 88781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88774 and 88781, than apply into the LCM equation.

GCF(88774,88781) = 7
LCM(88774,88781) = ( 88774 × 88781) / 7
LCM(88774,88781) = 7881444494 / 7
LCM(88774,88781) = 1125920642

Least Common Multiple (LCM) of 88774 and 88781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88774 and 88781. First we will calculate the prime factors of 88774 and 88781.

Prime Factorization of 88774

Prime Factorization of 88781

Now multiplying the highest exponent prime factors to calculate the LCM of 88774 and 88781.

LCM(88774,88781) = 2¹ × 7¹ × 17¹ × 373¹ × 11¹ × 1153¹
LCM(88774,88781) = 1125920642