What is the Least Common Multiple of 68419 and 68436?

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 68419 and 68436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68419 and 68436, than apply into the LCM equation.

GCF(68419,68436) = 1
LCM(68419,68436) = ( 68419 × 68436) / 1
LCM(68419,68436) = 4682322684 / 1
LCM(68419,68436) = 4682322684

Least Common Multiple (LCM) of 68419 and 68436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68419 and 68436. First we will calculate the prime factors of 68419 and 68436.

Prime Factorization of 68419

Prime Factorization of 68436

Now multiplying the highest exponent prime factors to calculate the LCM of 68419 and 68436.

LCM(68419,68436) = 13¹ × 19¹ × 277¹ × 2² × 3² × 1901¹
LCM(68419,68436) = 4682322684