What is the Least Common Multiple of 52762 and 52766?

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 52762 and 52766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52762 and 52766, than apply into the LCM equation.

GCF(52762,52766) = 2
LCM(52762,52766) = ( 52762 × 52766) / 2
LCM(52762,52766) = 2784039692 / 2
LCM(52762,52766) = 1392019846

Least Common Multiple (LCM) of 52762 and 52766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52762 and 52766. First we will calculate the prime factors of 52762 and 52766.

Prime Factorization of 52762

Prime Factorization of 52766

Now multiplying the highest exponent prime factors to calculate the LCM of 52762 and 52766.

LCM(52762,52766) = 2¹ × 23¹ × 31¹ × 37¹ × 7¹ × 3769¹
LCM(52762,52766) = 1392019846