What is the Least Common Multiple of 49455 and 49464?

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 49455 and 49464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49455 and 49464, than apply into the LCM equation.

GCF(49455,49464) = 9
LCM(49455,49464) = ( 49455 × 49464) / 9
LCM(49455,49464) = 2446242120 / 9
LCM(49455,49464) = 271804680

Least Common Multiple (LCM) of 49455 and 49464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49455 and 49464. First we will calculate the prime factors of 49455 and 49464.

Prime Factorization of 49455

Prime Factorization of 49464

Now multiplying the highest exponent prime factors to calculate the LCM of 49455 and 49464.

LCM(49455,49464) = 3³ × 5¹ × 7¹ × 157¹ × 2³ × 229¹
LCM(49455,49464) = 271804680