What is the Least Common Multiple of 40744 and 40762?

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 40744 and 40762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40744 and 40762, than apply into the LCM equation.

GCF(40744,40762) = 2
LCM(40744,40762) = ( 40744 × 40762) / 2
LCM(40744,40762) = 1660806928 / 2
LCM(40744,40762) = 830403464

Least Common Multiple (LCM) of 40744 and 40762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40744 and 40762. First we will calculate the prime factors of 40744 and 40762.

Prime Factorization of 40744

Prime Factorization of 40762

Now multiplying the highest exponent prime factors to calculate the LCM of 40744 and 40762.

LCM(40744,40762) = 2³ × 11¹ × 463¹ × 89¹ × 229¹
LCM(40744,40762) = 830403464