What is the Least Common Multiple of 23820 and 23835?

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 23820 and 23835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23820 and 23835, than apply into the LCM equation.

GCF(23820,23835) = 15
LCM(23820,23835) = ( 23820 × 23835) / 15
LCM(23820,23835) = 567749700 / 15
LCM(23820,23835) = 37849980

Least Common Multiple (LCM) of 23820 and 23835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23820 and 23835. First we will calculate the prime factors of 23820 and 23835.

Prime Factorization of 23820

Prime Factorization of 23835

Now multiplying the highest exponent prime factors to calculate the LCM of 23820 and 23835.

LCM(23820,23835) = 2² × 3¹ × 5¹ × 397¹ × 7¹ × 227¹
LCM(23820,23835) = 37849980