What is the Least Common Multiple of 51972 and 51986?

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 51972 and 51986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51972 and 51986, than apply into the LCM equation.

GCF(51972,51986) = 2
LCM(51972,51986) = ( 51972 × 51986) / 2
LCM(51972,51986) = 2701816392 / 2
LCM(51972,51986) = 1350908196

Least Common Multiple (LCM) of 51972 and 51986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51972 and 51986. First we will calculate the prime factors of 51972 and 51986.

Prime Factorization of 51972

Prime Factorization of 51986

Now multiplying the highest exponent prime factors to calculate the LCM of 51972 and 51986.

LCM(51972,51986) = 2² × 3¹ × 61¹ × 71¹ × 11¹ × 17¹ × 139¹
LCM(51972,51986) = 1350908196