What is the Least Common Multiple of 67238 and 67244?

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 67238 and 67244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67238 and 67244, than apply into the LCM equation.

GCF(67238,67244) = 2
LCM(67238,67244) = ( 67238 × 67244) / 2
LCM(67238,67244) = 4521352072 / 2
LCM(67238,67244) = 2260676036

Least Common Multiple (LCM) of 67238 and 67244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67238 and 67244. First we will calculate the prime factors of 67238 and 67244.

Prime Factorization of 67238

Prime Factorization of 67244

Now multiplying the highest exponent prime factors to calculate the LCM of 67238 and 67244.

LCM(67238,67244) = 2² × 33619¹ × 16811¹
LCM(67238,67244) = 2260676036