What is the Least Common Multiple of 49424 and 49441?

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 49424 and 49441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49424 and 49441, than apply into the LCM equation.

GCF(49424,49441) = 1
LCM(49424,49441) = ( 49424 × 49441) / 1
LCM(49424,49441) = 2443571984 / 1
LCM(49424,49441) = 2443571984

Least Common Multiple (LCM) of 49424 and 49441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49424 and 49441. First we will calculate the prime factors of 49424 and 49441.

Prime Factorization of 49424

Prime Factorization of 49441

Now multiplying the highest exponent prime factors to calculate the LCM of 49424 and 49441.

LCM(49424,49441) = 2⁴ × 3089¹ × 7² × 1009¹
LCM(49424,49441) = 2443571984