What is the Least Common Multiple of 68419 and 68432?

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 68432 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 68432, than apply into the LCM equation.

GCF(68419,68432) = 13
LCM(68419,68432) = ( 68419 × 68432) / 13
LCM(68419,68432) = 4682049008 / 13
LCM(68419,68432) = 360157616

Least Common Multiple (LCM) of 68419 and 68432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68419 and 68432. First we will calculate the prime factors of 68419 and 68432.

Prime Factorization of 68419

Prime Factorization of 68432

Now multiplying the highest exponent prime factors to calculate the LCM of 68419 and 68432.

LCM(68419,68432) = 13¹ × 19¹ × 277¹ × 2⁴ × 7¹ × 47¹
LCM(68419,68432) = 360157616