What is the Least Common Multiple of 68224 and 68239?

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 68224 and 68239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68224 and 68239, than apply into the LCM equation.

GCF(68224,68239) = 1
LCM(68224,68239) = ( 68224 × 68239) / 1
LCM(68224,68239) = 4655537536 / 1
LCM(68224,68239) = 4655537536

Least Common Multiple (LCM) of 68224 and 68239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68224 and 68239. First we will calculate the prime factors of 68224 and 68239.

Prime Factorization of 68224

Prime Factorization of 68239

Now multiplying the highest exponent prime factors to calculate the LCM of 68224 and 68239.

LCM(68224,68239) = 2⁷ × 13¹ × 41¹ × 68239¹
LCM(68224,68239) = 4655537536