What is the Least Common Multiple of 30414 and 30419?

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 30414 and 30419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30414 and 30419, than apply into the LCM equation.

GCF(30414,30419) = 1
LCM(30414,30419) = ( 30414 × 30419) / 1
LCM(30414,30419) = 925163466 / 1
LCM(30414,30419) = 925163466

Least Common Multiple (LCM) of 30414 and 30419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30414 and 30419. First we will calculate the prime factors of 30414 and 30419.

Prime Factorization of 30414

Prime Factorization of 30419

Now multiplying the highest exponent prime factors to calculate the LCM of 30414 and 30419.

LCM(30414,30419) = 2¹ × 3¹ × 37¹ × 137¹ × 19¹ × 1601¹
LCM(30414,30419) = 925163466