What is the Least Common Multiple of 87580 and 87596?

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 87580 and 87596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87580 and 87596, than apply into the LCM equation.

GCF(87580,87596) = 4
LCM(87580,87596) = ( 87580 × 87596) / 4
LCM(87580,87596) = 7671657680 / 4
LCM(87580,87596) = 1917914420

Least Common Multiple (LCM) of 87580 and 87596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87580 and 87596. First we will calculate the prime factors of 87580 and 87596.

Prime Factorization of 87580

Prime Factorization of 87596

Now multiplying the highest exponent prime factors to calculate the LCM of 87580 and 87596.

LCM(87580,87596) = 2² × 5¹ × 29¹ × 151¹ × 61¹ × 359¹
LCM(87580,87596) = 1917914420