What is the Least Common Multiple of 49168 and 49180?

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 49168 and 49180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49168 and 49180, than apply into the LCM equation.

GCF(49168,49180) = 4
LCM(49168,49180) = ( 49168 × 49180) / 4
LCM(49168,49180) = 2418082240 / 4
LCM(49168,49180) = 604520560

Least Common Multiple (LCM) of 49168 and 49180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49168 and 49180. First we will calculate the prime factors of 49168 and 49180.

Prime Factorization of 49168

Prime Factorization of 49180

Now multiplying the highest exponent prime factors to calculate the LCM of 49168 and 49180.

LCM(49168,49180) = 2⁴ × 7¹ × 439¹ × 5¹ × 2459¹
LCM(49168,49180) = 604520560