What is the Least Common Multiple of 68505 and 68515?

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 68505 and 68515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68505 and 68515, than apply into the LCM equation.

GCF(68505,68515) = 5
LCM(68505,68515) = ( 68505 × 68515) / 5
LCM(68505,68515) = 4693620075 / 5
LCM(68505,68515) = 938724015

Least Common Multiple (LCM) of 68505 and 68515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68505 and 68515. First we will calculate the prime factors of 68505 and 68515.

Prime Factorization of 68505

Prime Factorization of 68515

Now multiplying the highest exponent prime factors to calculate the LCM of 68505 and 68515.

LCM(68505,68515) = 3¹ × 5¹ × 4567¹ × 71¹ × 193¹
LCM(68505,68515) = 938724015