What is the Least Common Multiple of 87340 and 87355?

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 87340 and 87355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87340 and 87355, than apply into the LCM equation.

GCF(87340,87355) = 5
LCM(87340,87355) = ( 87340 × 87355) / 5
LCM(87340,87355) = 7629585700 / 5
LCM(87340,87355) = 1525917140

Least Common Multiple (LCM) of 87340 and 87355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87340 and 87355. First we will calculate the prime factors of 87340 and 87355.

Prime Factorization of 87340

Prime Factorization of 87355

Now multiplying the highest exponent prime factors to calculate the LCM of 87340 and 87355.

LCM(87340,87355) = 2² × 5¹ × 11¹ × 397¹ × 17471¹
LCM(87340,87355) = 1525917140