What is the Least Common Multiple of 67944 and 67952?

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 67944 and 67952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67944 and 67952, than apply into the LCM equation.

GCF(67944,67952) = 8
LCM(67944,67952) = ( 67944 × 67952) / 8
LCM(67944,67952) = 4616930688 / 8
LCM(67944,67952) = 577116336

Least Common Multiple (LCM) of 67944 and 67952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67944 and 67952. First we will calculate the prime factors of 67944 and 67952.

Prime Factorization of 67944

Prime Factorization of 67952

Now multiplying the highest exponent prime factors to calculate the LCM of 67944 and 67952.

LCM(67944,67952) = 2⁴ × 3¹ × 19¹ × 149¹ × 31¹ × 137¹
LCM(67944,67952) = 577116336