What is the Least Common Multiple of 24810 and 24820?

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 24810 and 24820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24810 and 24820, than apply into the LCM equation.

GCF(24810,24820) = 10
LCM(24810,24820) = ( 24810 × 24820) / 10
LCM(24810,24820) = 615784200 / 10
LCM(24810,24820) = 61578420

Least Common Multiple (LCM) of 24810 and 24820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24810 and 24820. First we will calculate the prime factors of 24810 and 24820.

Prime Factorization of 24810

Prime Factorization of 24820

Now multiplying the highest exponent prime factors to calculate the LCM of 24810 and 24820.

LCM(24810,24820) = 2² × 3¹ × 5¹ × 827¹ × 17¹ × 73¹
LCM(24810,24820) = 61578420