What is the Least Common Multiple of 40419 and 40437?

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 40419 and 40437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40419 and 40437, than apply into the LCM equation.

GCF(40419,40437) = 9
LCM(40419,40437) = ( 40419 × 40437) / 9
LCM(40419,40437) = 1634423103 / 9
LCM(40419,40437) = 181602567

Least Common Multiple (LCM) of 40419 and 40437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40419 and 40437. First we will calculate the prime factors of 40419 and 40437.

Prime Factorization of 40419

Prime Factorization of 40437

Now multiplying the highest exponent prime factors to calculate the LCM of 40419 and 40437.

LCM(40419,40437) = 3⁴ × 499¹ × 4493¹
LCM(40419,40437) = 181602567