What is the Least Common Multiple of 76480 and 76492?

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 76492 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 76492, than apply into the LCM equation.

GCF(76480,76492) = 4
LCM(76480,76492) = ( 76480 × 76492) / 4
LCM(76480,76492) = 5850108160 / 4
LCM(76480,76492) = 1462527040

Least Common Multiple (LCM) of 76480 and 76492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76480 and 76492. First we will calculate the prime factors of 76480 and 76492.

Prime Factorization of 76480

Prime Factorization of 76492

Now multiplying the highest exponent prime factors to calculate the LCM of 76480 and 76492.

LCM(76480,76492) = 2⁶ × 5¹ × 239¹ × 13¹ × 1471¹
LCM(76480,76492) = 1462527040