What is the Least Common Multiple of 52074 and 52082?

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 52074 and 52082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52074 and 52082, than apply into the LCM equation.

GCF(52074,52082) = 2
LCM(52074,52082) = ( 52074 × 52082) / 2
LCM(52074,52082) = 2712118068 / 2
LCM(52074,52082) = 1356059034

Least Common Multiple (LCM) of 52074 and 52082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52074 and 52082. First we will calculate the prime factors of 52074 and 52082.

Prime Factorization of 52074

Prime Factorization of 52082

Now multiplying the highest exponent prime factors to calculate the LCM of 52074 and 52082.

LCM(52074,52082) = 2¹ × 3² × 11¹ × 263¹ × 26041¹
LCM(52074,52082) = 1356059034