What is the Least Common Multiple of 52696 and 52701?

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 52696 and 52701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52696 and 52701, than apply into the LCM equation.

GCF(52696,52701) = 1
LCM(52696,52701) = ( 52696 × 52701) / 1
LCM(52696,52701) = 2777131896 / 1
LCM(52696,52701) = 2777131896

Least Common Multiple (LCM) of 52696 and 52701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52696 and 52701. First we will calculate the prime factors of 52696 and 52701.

Prime Factorization of 52696

Prime Factorization of 52701

Now multiplying the highest exponent prime factors to calculate the LCM of 52696 and 52701.

LCM(52696,52701) = 2³ × 7¹ × 941¹ × 3¹ × 11¹ × 1597¹
LCM(52696,52701) = 2777131896