What is the Least Common Multiple of 67904 and 67918?

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 67904 and 67918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67904 and 67918, than apply into the LCM equation.

GCF(67904,67918) = 2
LCM(67904,67918) = ( 67904 × 67918) / 2
LCM(67904,67918) = 4611903872 / 2
LCM(67904,67918) = 2305951936

Least Common Multiple (LCM) of 67904 and 67918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67904 and 67918. First we will calculate the prime factors of 67904 and 67918.

Prime Factorization of 67904

Prime Factorization of 67918

Now multiplying the highest exponent prime factors to calculate the LCM of 67904 and 67918.

LCM(67904,67918) = 2⁶ × 1061¹ × 29¹ × 1171¹
LCM(67904,67918) = 2305951936