What is the Least Common Multiple of 67892 and 67910?

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 67892 and 67910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67892 and 67910, than apply into the LCM equation.

GCF(67892,67910) = 2
LCM(67892,67910) = ( 67892 × 67910) / 2
LCM(67892,67910) = 4610545720 / 2
LCM(67892,67910) = 2305272860

Least Common Multiple (LCM) of 67892 and 67910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67892 and 67910. First we will calculate the prime factors of 67892 and 67910.

Prime Factorization of 67892

Prime Factorization of 67910

Now multiplying the highest exponent prime factors to calculate the LCM of 67892 and 67910.

LCM(67892,67910) = 2² × 11¹ × 1543¹ × 5¹ × 6791¹
LCM(67892,67910) = 2305272860