What is the Least Common Multiple of 87509 and 87516?

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 87509 and 87516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87509 and 87516, than apply into the LCM equation.

GCF(87509,87516) = 1
LCM(87509,87516) = ( 87509 × 87516) / 1
LCM(87509,87516) = 7658437644 / 1
LCM(87509,87516) = 7658437644

Least Common Multiple (LCM) of 87509 and 87516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87509 and 87516. First we will calculate the prime factors of 87509 and 87516.

Prime Factorization of 87509

Prime Factorization of 87516

Now multiplying the highest exponent prime factors to calculate the LCM of 87509 and 87516.

LCM(87509,87516) = 87509¹ × 2² × 3² × 11¹ × 13¹ × 17¹
LCM(87509,87516) = 7658437644