What is the Least Common Multiple of 52830 and 52842?

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 52830 and 52842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52830 and 52842, than apply into the LCM equation.

GCF(52830,52842) = 6
LCM(52830,52842) = ( 52830 × 52842) / 6
LCM(52830,52842) = 2791642860 / 6
LCM(52830,52842) = 465273810

Least Common Multiple (LCM) of 52830 and 52842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52830 and 52842. First we will calculate the prime factors of 52830 and 52842.

Prime Factorization of 52830

Prime Factorization of 52842

Now multiplying the highest exponent prime factors to calculate the LCM of 52830 and 52842.

LCM(52830,52842) = 2¹ × 3² × 5¹ × 587¹ × 8807¹
LCM(52830,52842) = 465273810