What is the Least Common Multiple of 67248 and 67267?

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 67248 and 67267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67248 and 67267, than apply into the LCM equation.

GCF(67248,67267) = 1
LCM(67248,67267) = ( 67248 × 67267) / 1
LCM(67248,67267) = 4523571216 / 1
LCM(67248,67267) = 4523571216

Least Common Multiple (LCM) of 67248 and 67267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67248 and 67267. First we will calculate the prime factors of 67248 and 67267.

Prime Factorization of 67248

Prime Factorization of 67267

Now multiplying the highest exponent prime factors to calculate the LCM of 67248 and 67267.

LCM(67248,67267) = 2⁴ × 3² × 467¹ × 137¹ × 491¹
LCM(67248,67267) = 4523571216