What is the Least Common Multiple of 67944 and 67962?

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 67962 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 67962, than apply into the LCM equation.

GCF(67944,67962) = 6
LCM(67944,67962) = ( 67944 × 67962) / 6
LCM(67944,67962) = 4617610128 / 6
LCM(67944,67962) = 769601688

Least Common Multiple (LCM) of 67944 and 67962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67944 and 67962. First we will calculate the prime factors of 67944 and 67962.

Prime Factorization of 67944

Prime Factorization of 67962

Now multiplying the highest exponent prime factors to calculate the LCM of 67944 and 67962.

LCM(67944,67962) = 2³ × 3¹ × 19¹ × 149¹ × 47¹ × 241¹
LCM(67944,67962) = 769601688