What is the Least Common Multiple of 68509 and 68516?

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 68509 and 68516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68509 and 68516, than apply into the LCM equation.

GCF(68509,68516) = 7
LCM(68509,68516) = ( 68509 × 68516) / 7
LCM(68509,68516) = 4693962644 / 7
LCM(68509,68516) = 670566092

Least Common Multiple (LCM) of 68509 and 68516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68509 and 68516. First we will calculate the prime factors of 68509 and 68516.

Prime Factorization of 68509

Prime Factorization of 68516

Now multiplying the highest exponent prime factors to calculate the LCM of 68509 and 68516.

LCM(68509,68516) = 7¹ × 9787¹ × 2² × 2447¹
LCM(68509,68516) = 670566092