What is the Least Common Multiple of 88642 and 88662?

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 88642 and 88662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88642 and 88662, than apply into the LCM equation.

GCF(88642,88662) = 2
LCM(88642,88662) = ( 88642 × 88662) / 2
LCM(88642,88662) = 7859177004 / 2
LCM(88642,88662) = 3929588502

Least Common Multiple (LCM) of 88642 and 88662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88642 and 88662. First we will calculate the prime factors of 88642 and 88662.

Prime Factorization of 88642

Prime Factorization of 88662

Now multiplying the highest exponent prime factors to calculate the LCM of 88642 and 88662.

LCM(88642,88662) = 2¹ × 23¹ × 41¹ × 47¹ × 3¹ × 7¹ × 2111¹
LCM(88642,88662) = 3929588502