What is the Least Common Multiple of 76480 and 76494?

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 76494 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 76494, than apply into the LCM equation.

GCF(76480,76494) = 2
LCM(76480,76494) = ( 76480 × 76494) / 2
LCM(76480,76494) = 5850261120 / 2
LCM(76480,76494) = 2925130560

Least Common Multiple (LCM) of 76480 and 76494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76480 and 76494. First we will calculate the prime factors of 76480 and 76494.

Prime Factorization of 76480

Prime Factorization of 76494

Now multiplying the highest exponent prime factors to calculate the LCM of 76480 and 76494.

LCM(76480,76494) = 2⁶ × 5¹ × 239¹ × 3¹ × 11¹ × 19¹ × 61¹
LCM(76480,76494) = 2925130560