What is the Least Common Multiple of 68190 and 68199?

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 68190 and 68199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68190 and 68199, than apply into the LCM equation.

GCF(68190,68199) = 3
LCM(68190,68199) = ( 68190 × 68199) / 3
LCM(68190,68199) = 4650489810 / 3
LCM(68190,68199) = 1550163270

Least Common Multiple (LCM) of 68190 and 68199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68190 and 68199. First we will calculate the prime factors of 68190 and 68199.

Prime Factorization of 68190

Prime Factorization of 68199

Now multiplying the highest exponent prime factors to calculate the LCM of 68190 and 68199.

LCM(68190,68199) = 2¹ × 3¹ × 5¹ × 2273¹ × 127¹ × 179¹
LCM(68190,68199) = 1550163270