What is the Least Common Multiple of 77934 and 77946?

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 77934 and 77946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77934 and 77946, than apply into the LCM equation.

GCF(77934,77946) = 6
LCM(77934,77946) = ( 77934 × 77946) / 6
LCM(77934,77946) = 6074643564 / 6
LCM(77934,77946) = 1012440594

Least Common Multiple (LCM) of 77934 and 77946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77934 and 77946. First we will calculate the prime factors of 77934 and 77946.

Prime Factorization of 77934

Prime Factorization of 77946

Now multiplying the highest exponent prime factors to calculate the LCM of 77934 and 77946.

LCM(77934,77946) = 2¹ × 3¹ × 31¹ × 419¹ × 11¹ × 1181¹
LCM(77934,77946) = 1012440594