What is the Least Common Multiple of 67244 and 67254?

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 67244 and 67254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67244 and 67254, than apply into the LCM equation.

GCF(67244,67254) = 2
LCM(67244,67254) = ( 67244 × 67254) / 2
LCM(67244,67254) = 4522427976 / 2
LCM(67244,67254) = 2261213988

Least Common Multiple (LCM) of 67244 and 67254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67244 and 67254. First we will calculate the prime factors of 67244 and 67254.

Prime Factorization of 67244

Prime Factorization of 67254

Now multiplying the highest exponent prime factors to calculate the LCM of 67244 and 67254.

LCM(67244,67254) = 2² × 16811¹ × 3¹ × 11¹ × 1019¹
LCM(67244,67254) = 2261213988