What is the Least Common Multiple of 88722 and 88737?

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 88722 and 88737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88722 and 88737, than apply into the LCM equation.

GCF(88722,88737) = 3
LCM(88722,88737) = ( 88722 × 88737) / 3
LCM(88722,88737) = 7872924114 / 3
LCM(88722,88737) = 2624308038

Least Common Multiple (LCM) of 88722 and 88737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88722 and 88737. First we will calculate the prime factors of 88722 and 88737.

Prime Factorization of 88722

Prime Factorization of 88737

Now multiplying the highest exponent prime factors to calculate the LCM of 88722 and 88737.

LCM(88722,88737) = 2¹ × 3³ × 31¹ × 53¹ × 11¹ × 2689¹
LCM(88722,88737) = 2624308038