What is the Least Common Multiple of 40962 and 40966?

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 40962 and 40966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40962 and 40966, than apply into the LCM equation.

GCF(40962,40966) = 2
LCM(40962,40966) = ( 40962 × 40966) / 2
LCM(40962,40966) = 1678049292 / 2
LCM(40962,40966) = 839024646

Least Common Multiple (LCM) of 40962 and 40966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40962 and 40966. First we will calculate the prime factors of 40962 and 40966.

Prime Factorization of 40962

Prime Factorization of 40966

Now multiplying the highest exponent prime factors to calculate the LCM of 40962 and 40966.

LCM(40962,40966) = 2¹ × 3¹ × 6827¹ × 20483¹
LCM(40962,40966) = 839024646