What is the Least Common Multiple of 88722 and 88726?

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 88726 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 88726, than apply into the LCM equation.

GCF(88722,88726) = 2
LCM(88722,88726) = ( 88722 × 88726) / 2
LCM(88722,88726) = 7871948172 / 2
LCM(88722,88726) = 3935974086

Least Common Multiple (LCM) of 88722 and 88726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88722 and 88726. First we will calculate the prime factors of 88722 and 88726.

Prime Factorization of 88722

Prime Factorization of 88726

Now multiplying the highest exponent prime factors to calculate the LCM of 88722 and 88726.

LCM(88722,88726) = 2¹ × 3³ × 31¹ × 53¹ × 11¹ × 37¹ × 109¹
LCM(88722,88726) = 3935974086