What is the Least Common Multiple of 68172 and 68190?

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 68172 and 68190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68172 and 68190, than apply into the LCM equation.

GCF(68172,68190) = 6
LCM(68172,68190) = ( 68172 × 68190) / 6
LCM(68172,68190) = 4648648680 / 6
LCM(68172,68190) = 774774780

Least Common Multiple (LCM) of 68172 and 68190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68172 and 68190. First we will calculate the prime factors of 68172 and 68190.

Prime Factorization of 68172

Prime Factorization of 68190

Now multiplying the highest exponent prime factors to calculate the LCM of 68172 and 68190.

LCM(68172,68190) = 2² × 3¹ × 13¹ × 19¹ × 23¹ × 5¹ × 2273¹
LCM(68172,68190) = 774774780