What is the Least Common Multiple of 88286 and 88292?

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 88286 and 88292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88286 and 88292, than apply into the LCM equation.

GCF(88286,88292) = 2
LCM(88286,88292) = ( 88286 × 88292) / 2
LCM(88286,88292) = 7794947512 / 2
LCM(88286,88292) = 3897473756

Least Common Multiple (LCM) of 88286 and 88292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88286 and 88292. First we will calculate the prime factors of 88286 and 88292.

Prime Factorization of 88286

Prime Factorization of 88292

Now multiplying the highest exponent prime factors to calculate the LCM of 88286 and 88292.

LCM(88286,88292) = 2² × 11¹ × 4013¹ × 22073¹
LCM(88286,88292) = 3897473756