What is the Least Common Multiple of 68419 and 68438?

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 68438 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 68438, than apply into the LCM equation.

GCF(68419,68438) = 19
LCM(68419,68438) = ( 68419 × 68438) / 19
LCM(68419,68438) = 4682459522 / 19
LCM(68419,68438) = 246445238

Least Common Multiple (LCM) of 68419 and 68438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68419 and 68438. First we will calculate the prime factors of 68419 and 68438.

Prime Factorization of 68419

Prime Factorization of 68438

Now multiplying the highest exponent prime factors to calculate the LCM of 68419 and 68438.

LCM(68419,68438) = 13¹ × 19¹ × 277¹ × 2¹ × 1801¹
LCM(68419,68438) = 246445238