What is the Least Common Multiple of 49136 and 49142?

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 49136 and 49142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49136 and 49142, than apply into the LCM equation.

GCF(49136,49142) = 2
LCM(49136,49142) = ( 49136 × 49142) / 2
LCM(49136,49142) = 2414641312 / 2
LCM(49136,49142) = 1207320656

Least Common Multiple (LCM) of 49136 and 49142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49136 and 49142. First we will calculate the prime factors of 49136 and 49142.

Prime Factorization of 49136

Prime Factorization of 49142

Now multiplying the highest exponent prime factors to calculate the LCM of 49136 and 49142.

LCM(49136,49142) = 2⁴ × 37¹ × 83¹ × 24571¹
LCM(49136,49142) = 1207320656