What is the Least Common Multiple of 76580 and 76592?

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 76580 and 76592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76580 and 76592, than apply into the LCM equation.

GCF(76580,76592) = 4
LCM(76580,76592) = ( 76580 × 76592) / 4
LCM(76580,76592) = 5865415360 / 4
LCM(76580,76592) = 1466353840

Least Common Multiple (LCM) of 76580 and 76592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76580 and 76592. First we will calculate the prime factors of 76580 and 76592.

Prime Factorization of 76580

Prime Factorization of 76592

Now multiplying the highest exponent prime factors to calculate the LCM of 76580 and 76592.

LCM(76580,76592) = 2⁴ × 5¹ × 7¹ × 547¹ × 4787¹
LCM(76580,76592) = 1466353840