What is the Least Common Multiple of 67438 and 67450?

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 67438 and 67450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67438 and 67450, than apply into the LCM equation.

GCF(67438,67450) = 2
LCM(67438,67450) = ( 67438 × 67450) / 2
LCM(67438,67450) = 4548693100 / 2
LCM(67438,67450) = 2274346550

Least Common Multiple (LCM) of 67438 and 67450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67438 and 67450. First we will calculate the prime factors of 67438 and 67450.

Prime Factorization of 67438

Prime Factorization of 67450

Now multiplying the highest exponent prime factors to calculate the LCM of 67438 and 67450.

LCM(67438,67450) = 2¹ × 7¹ × 4817¹ × 5² × 19¹ × 71¹
LCM(67438,67450) = 2274346550