What is the Least Common Multiple of 76580 and 76596?

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 76596 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 76596, than apply into the LCM equation.

GCF(76580,76596) = 4
LCM(76580,76596) = ( 76580 × 76596) / 4
LCM(76580,76596) = 5865721680 / 4
LCM(76580,76596) = 1466430420

Least Common Multiple (LCM) of 76580 and 76596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76580 and 76596. First we will calculate the prime factors of 76580 and 76596.

Prime Factorization of 76580

Prime Factorization of 76596

Now multiplying the highest exponent prime factors to calculate the LCM of 76580 and 76596.

LCM(76580,76596) = 2² × 5¹ × 7¹ × 547¹ × 3¹ × 13¹ × 491¹
LCM(76580,76596) = 1466430420