What is the Least Common Multiple of 45946 and 45962?

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 45946 and 45962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45946 and 45962, than apply into the LCM equation.

GCF(45946,45962) = 2
LCM(45946,45962) = ( 45946 × 45962) / 2
LCM(45946,45962) = 2111770052 / 2
LCM(45946,45962) = 1055885026

Least Common Multiple (LCM) of 45946 and 45962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45946 and 45962. First we will calculate the prime factors of 45946 and 45962.

Prime Factorization of 45946

Prime Factorization of 45962

Now multiplying the highest exponent prime factors to calculate the LCM of 45946 and 45962.

LCM(45946,45962) = 2¹ × 22973¹ × 7³ × 67¹
LCM(45946,45962) = 1055885026