What is the Least Common Multiple of 40263 and 40278?

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 40263 and 40278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40263 and 40278, than apply into the LCM equation.

GCF(40263,40278) = 3
LCM(40263,40278) = ( 40263 × 40278) / 3
LCM(40263,40278) = 1621713114 / 3
LCM(40263,40278) = 540571038

Least Common Multiple (LCM) of 40263 and 40278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40263 and 40278. First we will calculate the prime factors of 40263 and 40278.

Prime Factorization of 40263

Prime Factorization of 40278

Now multiplying the highest exponent prime factors to calculate the LCM of 40263 and 40278.

LCM(40263,40278) = 3¹ × 13421¹ × 2¹ × 7² × 137¹
LCM(40263,40278) = 540571038