What is the Least Common Multiple of 67354 and 67372?

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 67354 and 67372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67354 and 67372, than apply into the LCM equation.

GCF(67354,67372) = 2
LCM(67354,67372) = ( 67354 × 67372) / 2
LCM(67354,67372) = 4537773688 / 2
LCM(67354,67372) = 2268886844

Least Common Multiple (LCM) of 67354 and 67372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67354 and 67372. First we will calculate the prime factors of 67354 and 67372.

Prime Factorization of 67354

Prime Factorization of 67372

Now multiplying the highest exponent prime factors to calculate the LCM of 67354 and 67372.

LCM(67354,67372) = 2² × 7¹ × 17¹ × 283¹ × 16843¹
LCM(67354,67372) = 2268886844