What is the Least Common Multiple of 67904 and 67921?

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 67921 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 67921, than apply into the LCM equation.

GCF(67904,67921) = 1
LCM(67904,67921) = ( 67904 × 67921) / 1
LCM(67904,67921) = 4612107584 / 1
LCM(67904,67921) = 4612107584

Least Common Multiple (LCM) of 67904 and 67921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67904 and 67921. First we will calculate the prime factors of 67904 and 67921.

Prime Factorization of 67904

Prime Factorization of 67921

Now multiplying the highest exponent prime factors to calculate the LCM of 67904 and 67921.

LCM(67904,67921) = 2⁶ × 1061¹ × 7¹ × 31¹ × 313¹
LCM(67904,67921) = 4612107584