What is the Least Common Multiple of 56274 and 56282?

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 56274 and 56282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56274 and 56282, than apply into the LCM equation.

GCF(56274,56282) = 2
LCM(56274,56282) = ( 56274 × 56282) / 2
LCM(56274,56282) = 3167213268 / 2
LCM(56274,56282) = 1583606634

Least Common Multiple (LCM) of 56274 and 56282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56274 and 56282. First we will calculate the prime factors of 56274 and 56282.

Prime Factorization of 56274

Prime Factorization of 56282

Now multiplying the highest exponent prime factors to calculate the LCM of 56274 and 56282.

LCM(56274,56282) = 2¹ × 3¹ × 83¹ × 113¹ × 107¹ × 263¹
LCM(56274,56282) = 1583606634