What is the Least Common Multiple of 52276 and 52295?

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 52276 and 52295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52276 and 52295, than apply into the LCM equation.

GCF(52276,52295) = 1
LCM(52276,52295) = ( 52276 × 52295) / 1
LCM(52276,52295) = 2733773420 / 1
LCM(52276,52295) = 2733773420

Least Common Multiple (LCM) of 52276 and 52295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52276 and 52295. First we will calculate the prime factors of 52276 and 52295.

Prime Factorization of 52276

Prime Factorization of 52295

Now multiplying the highest exponent prime factors to calculate the LCM of 52276 and 52295.

LCM(52276,52295) = 2² × 7¹ × 1867¹ × 5¹ × 10459¹
LCM(52276,52295) = 2733773420