What is the Least Common Multiple of 87603 and 87615?

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 87603 and 87615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87603 and 87615, than apply into the LCM equation.

GCF(87603,87615) = 3
LCM(87603,87615) = ( 87603 × 87615) / 3
LCM(87603,87615) = 7675336845 / 3
LCM(87603,87615) = 2558445615

Least Common Multiple (LCM) of 87603 and 87615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87603 and 87615. First we will calculate the prime factors of 87603 and 87615.

Prime Factorization of 87603

Prime Factorization of 87615

Now multiplying the highest exponent prime factors to calculate the LCM of 87603 and 87615.

LCM(87603,87615) = 3³ × 29201¹ × 5¹ × 11¹ × 59¹
LCM(87603,87615) = 2558445615