What is the Least Common Multiple of 40040 and 40053?

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 40040 and 40053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40040 and 40053, than apply into the LCM equation.

GCF(40040,40053) = 13
LCM(40040,40053) = ( 40040 × 40053) / 13
LCM(40040,40053) = 1603722120 / 13
LCM(40040,40053) = 123363240

Least Common Multiple (LCM) of 40040 and 40053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40040 and 40053. First we will calculate the prime factors of 40040 and 40053.

Prime Factorization of 40040

Prime Factorization of 40053

Now multiplying the highest exponent prime factors to calculate the LCM of 40040 and 40053.

LCM(40040,40053) = 2³ × 5¹ × 7¹ × 11¹ × 13² × 3¹ × 79¹
LCM(40040,40053) = 123363240