What is the Least Common Multiple of 23430 and 23435?

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 23430 and 23435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23430 and 23435, than apply into the LCM equation.

GCF(23430,23435) = 5
LCM(23430,23435) = ( 23430 × 23435) / 5
LCM(23430,23435) = 549082050 / 5
LCM(23430,23435) = 109816410

Least Common Multiple (LCM) of 23430 and 23435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23430 and 23435. First we will calculate the prime factors of 23430 and 23435.

Prime Factorization of 23430

Prime Factorization of 23435

Now multiplying the highest exponent prime factors to calculate the LCM of 23430 and 23435.

LCM(23430,23435) = 2¹ × 3¹ × 5¹ × 11¹ × 71¹ × 43¹ × 109¹
LCM(23430,23435) = 109816410