What is the Least Common Multiple of 67932 and 67946?

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 67932 and 67946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67932 and 67946, than apply into the LCM equation.

GCF(67932,67946) = 2
LCM(67932,67946) = ( 67932 × 67946) / 2
LCM(67932,67946) = 4615707672 / 2
LCM(67932,67946) = 2307853836

Least Common Multiple (LCM) of 67932 and 67946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67932 and 67946. First we will calculate the prime factors of 67932 and 67946.

Prime Factorization of 67932

Prime Factorization of 67946

Now multiplying the highest exponent prime factors to calculate the LCM of 67932 and 67946.

LCM(67932,67946) = 2² × 3³ × 17¹ × 37¹ × 53¹ × 641¹
LCM(67932,67946) = 2307853836