What is the Least Common Multiple of 67224 and 67234?

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 67224 and 67234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67224 and 67234, than apply into the LCM equation.

GCF(67224,67234) = 2
LCM(67224,67234) = ( 67224 × 67234) / 2
LCM(67224,67234) = 4519738416 / 2
LCM(67224,67234) = 2259869208

Least Common Multiple (LCM) of 67224 and 67234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67224 and 67234. First we will calculate the prime factors of 67224 and 67234.

Prime Factorization of 67224

Prime Factorization of 67234

Now multiplying the highest exponent prime factors to calculate the LCM of 67224 and 67234.

LCM(67224,67234) = 2³ × 3¹ × 2801¹ × 33617¹
LCM(67224,67234) = 2259869208