What is the Least Common Multiple of 88319 and 88330?

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 88319 and 88330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88319 and 88330, than apply into the LCM equation.

GCF(88319,88330) = 11
LCM(88319,88330) = ( 88319 × 88330) / 11
LCM(88319,88330) = 7801217270 / 11
LCM(88319,88330) = 709201570

Least Common Multiple (LCM) of 88319 and 88330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88319 and 88330. First we will calculate the prime factors of 88319 and 88330.

Prime Factorization of 88319

Prime Factorization of 88330

Now multiplying the highest exponent prime factors to calculate the LCM of 88319 and 88330.

LCM(88319,88330) = 7¹ × 11² × 31¹ × 37¹ × 2¹ × 5¹ × 73¹
LCM(88319,88330) = 709201570