What is the Least Common Multiple of 52274 and 52282?

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 52274 and 52282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52274 and 52282, than apply into the LCM equation.

GCF(52274,52282) = 2
LCM(52274,52282) = ( 52274 × 52282) / 2
LCM(52274,52282) = 2732989268 / 2
LCM(52274,52282) = 1366494634

Least Common Multiple (LCM) of 52274 and 52282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52274 and 52282. First we will calculate the prime factors of 52274 and 52282.

Prime Factorization of 52274

Prime Factorization of 52282

Now multiplying the highest exponent prime factors to calculate the LCM of 52274 and 52282.

LCM(52274,52282) = 2¹ × 59¹ × 443¹ × 26141¹
LCM(52274,52282) = 1366494634