What is the Least Common Multiple of 30415 and 30429?

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 30415 and 30429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30415 and 30429, than apply into the LCM equation.

GCF(30415,30429) = 7
LCM(30415,30429) = ( 30415 × 30429) / 7
LCM(30415,30429) = 925498035 / 7
LCM(30415,30429) = 132214005

Least Common Multiple (LCM) of 30415 and 30429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30415 and 30429. First we will calculate the prime factors of 30415 and 30429.

Prime Factorization of 30415

Prime Factorization of 30429

Now multiplying the highest exponent prime factors to calculate the LCM of 30415 and 30429.

LCM(30415,30429) = 5¹ × 7² × 11¹ × 79¹ × 3³ × 23¹
LCM(30415,30429) = 132214005