What is the Least Common Multiple of 55926 and 55946?

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 55926 and 55946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55926 and 55946, than apply into the LCM equation.

GCF(55926,55946) = 2
LCM(55926,55946) = ( 55926 × 55946) / 2
LCM(55926,55946) = 3128835996 / 2
LCM(55926,55946) = 1564417998

Least Common Multiple (LCM) of 55926 and 55946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55926 and 55946. First we will calculate the prime factors of 55926 and 55946.

Prime Factorization of 55926

Prime Factorization of 55946

Now multiplying the highest exponent prime factors to calculate the LCM of 55926 and 55946.

LCM(55926,55946) = 2¹ × 3² × 13¹ × 239¹ × 11¹ × 2543¹
LCM(55926,55946) = 1564417998