What is the Least Common Multiple of 67419 and 67430?

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 67419 and 67430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67419 and 67430, than apply into the LCM equation.

GCF(67419,67430) = 11
LCM(67419,67430) = ( 67419 × 67430) / 11
LCM(67419,67430) = 4546063170 / 11
LCM(67419,67430) = 413278470

Least Common Multiple (LCM) of 67419 and 67430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67419 and 67430. First we will calculate the prime factors of 67419 and 67430.

Prime Factorization of 67419

Prime Factorization of 67430

Now multiplying the highest exponent prime factors to calculate the LCM of 67419 and 67430.

LCM(67419,67430) = 3³ × 11¹ × 227¹ × 2¹ × 5¹ × 613¹
LCM(67419,67430) = 413278470