What is the Least Common Multiple of 88662 and 88671?

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 88662 and 88671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88662 and 88671, than apply into the LCM equation.

GCF(88662,88671) = 3
LCM(88662,88671) = ( 88662 × 88671) / 3
LCM(88662,88671) = 7861748202 / 3
LCM(88662,88671) = 2620582734

Least Common Multiple (LCM) of 88662 and 88671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88662 and 88671. First we will calculate the prime factors of 88662 and 88671.

Prime Factorization of 88662

Prime Factorization of 88671

Now multiplying the highest exponent prime factors to calculate the LCM of 88662 and 88671.

LCM(88662,88671) = 2¹ × 3¹ × 7¹ × 2111¹ × 11¹ × 2687¹
LCM(88662,88671) = 2620582734