What is the Least Common Multiple of 76480 and 76490?

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 76480 and 76490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76480 and 76490, than apply into the LCM equation.

GCF(76480,76490) = 10
LCM(76480,76490) = ( 76480 × 76490) / 10
LCM(76480,76490) = 5849955200 / 10
LCM(76480,76490) = 584995520

Least Common Multiple (LCM) of 76480 and 76490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76480 and 76490. First we will calculate the prime factors of 76480 and 76490.

Prime Factorization of 76480

Prime Factorization of 76490

Now multiplying the highest exponent prime factors to calculate the LCM of 76480 and 76490.

LCM(76480,76490) = 2⁶ × 5¹ × 239¹ × 7649¹
LCM(76480,76490) = 584995520