What is the Least Common Multiple of 49256 and 49274?

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 49256 and 49274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49256 and 49274, than apply into the LCM equation.

GCF(49256,49274) = 2
LCM(49256,49274) = ( 49256 × 49274) / 2
LCM(49256,49274) = 2427040144 / 2
LCM(49256,49274) = 1213520072

Least Common Multiple (LCM) of 49256 and 49274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49256 and 49274. First we will calculate the prime factors of 49256 and 49274.

Prime Factorization of 49256

Prime Factorization of 49274

Now multiplying the highest exponent prime factors to calculate the LCM of 49256 and 49274.

LCM(49256,49274) = 2³ × 47¹ × 131¹ × 71¹ × 347¹
LCM(49256,49274) = 1213520072