What is the Least Common Multiple of 40909 and 40920?

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 40909 and 40920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40909 and 40920, than apply into the LCM equation.

GCF(40909,40920) = 11
LCM(40909,40920) = ( 40909 × 40920) / 11
LCM(40909,40920) = 1673996280 / 11
LCM(40909,40920) = 152181480

Least Common Multiple (LCM) of 40909 and 40920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40909 and 40920. First we will calculate the prime factors of 40909 and 40920.

Prime Factorization of 40909

Prime Factorization of 40920

Now multiplying the highest exponent prime factors to calculate the LCM of 40909 and 40920.

LCM(40909,40920) = 11¹ × 3719¹ × 2³ × 3¹ × 5¹ × 31¹
LCM(40909,40920) = 152181480