What is the Least Common Multiple of 87540 and 87554?

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 87540 and 87554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87540 and 87554, than apply into the LCM equation.

GCF(87540,87554) = 2
LCM(87540,87554) = ( 87540 × 87554) / 2
LCM(87540,87554) = 7664477160 / 2
LCM(87540,87554) = 3832238580

Least Common Multiple (LCM) of 87540 and 87554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87540 and 87554. First we will calculate the prime factors of 87540 and 87554.

Prime Factorization of 87540

Prime Factorization of 87554

Now multiplying the highest exponent prime factors to calculate the LCM of 87540 and 87554.

LCM(87540,87554) = 2² × 3¹ × 5¹ × 1459¹ × 43777¹
LCM(87540,87554) = 3832238580