What is the Least Common Multiple of 67370 and 67386?

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 67370 and 67386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67370 and 67386, than apply into the LCM equation.

GCF(67370,67386) = 2
LCM(67370,67386) = ( 67370 × 67386) / 2
LCM(67370,67386) = 4539794820 / 2
LCM(67370,67386) = 2269897410

Least Common Multiple (LCM) of 67370 and 67386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67370 and 67386. First we will calculate the prime factors of 67370 and 67386.

Prime Factorization of 67370

Prime Factorization of 67386

Now multiplying the highest exponent prime factors to calculate the LCM of 67370 and 67386.

LCM(67370,67386) = 2¹ × 5¹ × 6737¹ × 3¹ × 11¹ × 1021¹
LCM(67370,67386) = 2269897410