What is the Least Common Multiple of 67936 and 67954?

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 67936 and 67954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67936 and 67954, than apply into the LCM equation.

GCF(67936,67954) = 2
LCM(67936,67954) = ( 67936 × 67954) / 2
LCM(67936,67954) = 4616522944 / 2
LCM(67936,67954) = 2308261472

Least Common Multiple (LCM) of 67936 and 67954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67936 and 67954. First we will calculate the prime factors of 67936 and 67954.

Prime Factorization of 67936

Prime Factorization of 67954

Now multiplying the highest exponent prime factors to calculate the LCM of 67936 and 67954.

LCM(67936,67954) = 2⁵ × 11¹ × 193¹ × 61¹ × 557¹
LCM(67936,67954) = 2308261472