What is the Least Common Multiple of 49792 and 49810?

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 49792 and 49810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49792 and 49810, than apply into the LCM equation.

GCF(49792,49810) = 2
LCM(49792,49810) = ( 49792 × 49810) / 2
LCM(49792,49810) = 2480139520 / 2
LCM(49792,49810) = 1240069760

Least Common Multiple (LCM) of 49792 and 49810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49792 and 49810. First we will calculate the prime factors of 49792 and 49810.

Prime Factorization of 49792

Prime Factorization of 49810

Now multiplying the highest exponent prime factors to calculate the LCM of 49792 and 49810.

LCM(49792,49810) = 2⁷ × 389¹ × 5¹ × 17¹ × 293¹
LCM(49792,49810) = 1240069760