What is the Least Common Multiple of 40353 and 40373?

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 40353 and 40373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40353 and 40373, than apply into the LCM equation.

GCF(40353,40373) = 1
LCM(40353,40373) = ( 40353 × 40373) / 1
LCM(40353,40373) = 1629171669 / 1
LCM(40353,40373) = 1629171669

Least Common Multiple (LCM) of 40353 and 40373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40353 and 40373. First we will calculate the prime factors of 40353 and 40373.

Prime Factorization of 40353

Prime Factorization of 40373

Now multiplying the highest exponent prime factors to calculate the LCM of 40353 and 40373.

LCM(40353,40373) = 3¹ × 13451¹ × 47¹ × 859¹
LCM(40353,40373) = 1629171669