What is the Least Common Multiple of 53142 and 53162?

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 53142 and 53162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53142 and 53162, than apply into the LCM equation.

GCF(53142,53162) = 2
LCM(53142,53162) = ( 53142 × 53162) / 2
LCM(53142,53162) = 2825135004 / 2
LCM(53142,53162) = 1412567502

Least Common Multiple (LCM) of 53142 and 53162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53142 and 53162. First we will calculate the prime factors of 53142 and 53162.

Prime Factorization of 53142

Prime Factorization of 53162

Now multiplying the highest exponent prime factors to calculate the LCM of 53142 and 53162.

LCM(53142,53162) = 2¹ × 3¹ × 17¹ × 521¹ × 19¹ × 1399¹
LCM(53142,53162) = 1412567502