What is the Least Common Multiple of 30420 and 30435?

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 30420 and 30435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30420 and 30435, than apply into the LCM equation.

GCF(30420,30435) = 15
LCM(30420,30435) = ( 30420 × 30435) / 15
LCM(30420,30435) = 925832700 / 15
LCM(30420,30435) = 61722180

Least Common Multiple (LCM) of 30420 and 30435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30420 and 30435. First we will calculate the prime factors of 30420 and 30435.

Prime Factorization of 30420

Prime Factorization of 30435

Now multiplying the highest exponent prime factors to calculate the LCM of 30420 and 30435.

LCM(30420,30435) = 2² × 3² × 5¹ × 13² × 2029¹
LCM(30420,30435) = 61722180