What is the Least Common Multiple of 52672 and 52691?

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 52672 and 52691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52672 and 52691, than apply into the LCM equation.

GCF(52672,52691) = 1
LCM(52672,52691) = ( 52672 × 52691) / 1
LCM(52672,52691) = 2775340352 / 1
LCM(52672,52691) = 2775340352

Least Common Multiple (LCM) of 52672 and 52691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52672 and 52691. First we will calculate the prime factors of 52672 and 52691.

Prime Factorization of 52672

Prime Factorization of 52691

Now multiplying the highest exponent prime factors to calculate the LCM of 52672 and 52691.

LCM(52672,52691) = 2⁶ × 823¹ × 52691¹
LCM(52672,52691) = 2775340352