What is the Least Common Multiple of 73509 and 73514?

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 73509 and 73514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73509 and 73514, than apply into the LCM equation.

GCF(73509,73514) = 1
LCM(73509,73514) = ( 73509 × 73514) / 1
LCM(73509,73514) = 5403940626 / 1
LCM(73509,73514) = 5403940626

Least Common Multiple (LCM) of 73509 and 73514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73509 and 73514. First we will calculate the prime factors of 73509 and 73514.

Prime Factorization of 73509

Prime Factorization of 73514

Now multiplying the highest exponent prime factors to calculate the LCM of 73509 and 73514.

LCM(73509,73514) = 3¹ × 107¹ × 229¹ × 2¹ × 7¹ × 59¹ × 89¹
LCM(73509,73514) = 5403940626