What is the Least Common Multiple of 52842 and 52852?

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 52842 and 52852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52842 and 52852, than apply into the LCM equation.

GCF(52842,52852) = 2
LCM(52842,52852) = ( 52842 × 52852) / 2
LCM(52842,52852) = 2792805384 / 2
LCM(52842,52852) = 1396402692

Least Common Multiple (LCM) of 52842 and 52852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52842 and 52852. First we will calculate the prime factors of 52842 and 52852.

Prime Factorization of 52842

Prime Factorization of 52852

Now multiplying the highest exponent prime factors to calculate the LCM of 52842 and 52852.

LCM(52842,52852) = 2² × 3¹ × 8807¹ × 73¹ × 181¹
LCM(52842,52852) = 1396402692