What is the Least Common Multiple of 8220 and 8239?

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 8220 and 8239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8220 and 8239, than apply into the LCM equation.

GCF(8220,8239) = 1
LCM(8220,8239) = ( 8220 × 8239) / 1
LCM(8220,8239) = 67724580 / 1
LCM(8220,8239) = 67724580

Least Common Multiple (LCM) of 8220 and 8239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8220 and 8239. First we will calculate the prime factors of 8220 and 8239.

Prime Factorization of 8220

Prime Factorization of 8239

Now multiplying the highest exponent prime factors to calculate the LCM of 8220 and 8239.

LCM(8220,8239) = 2² × 3¹ × 5¹ × 137¹ × 7¹ × 11¹ × 107¹
LCM(8220,8239) = 67724580