What is the Least Common Multiple of 52940 and 52952?

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 52940 and 52952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52940 and 52952, than apply into the LCM equation.

GCF(52940,52952) = 4
LCM(52940,52952) = ( 52940 × 52952) / 4
LCM(52940,52952) = 2803278880 / 4
LCM(52940,52952) = 700819720

Least Common Multiple (LCM) of 52940 and 52952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52940 and 52952. First we will calculate the prime factors of 52940 and 52952.

Prime Factorization of 52940

Prime Factorization of 52952

Now multiplying the highest exponent prime factors to calculate the LCM of 52940 and 52952.

LCM(52940,52952) = 2³ × 5¹ × 2647¹ × 6619¹
LCM(52940,52952) = 700819720