What is the Least Common Multiple of 88308 and 88319?

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 88308 and 88319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88308 and 88319, than apply into the LCM equation.

GCF(88308,88319) = 11
LCM(88308,88319) = ( 88308 × 88319) / 11
LCM(88308,88319) = 7799274252 / 11
LCM(88308,88319) = 709024932

Least Common Multiple (LCM) of 88308 and 88319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88308 and 88319. First we will calculate the prime factors of 88308 and 88319.

Prime Factorization of 88308

Prime Factorization of 88319

Now multiplying the highest exponent prime factors to calculate the LCM of 88308 and 88319.

LCM(88308,88319) = 2² × 3² × 11¹ × 223¹ × 7¹ × 31¹ × 37¹
LCM(88308,88319) = 709024932