What is the Least Common Multiple of 74593 and 74613?

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 74593 and 74613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74593 and 74613, than apply into the LCM equation.

GCF(74593,74613) = 1
LCM(74593,74613) = ( 74593 × 74613) / 1
LCM(74593,74613) = 5565607509 / 1
LCM(74593,74613) = 5565607509

Least Common Multiple (LCM) of 74593 and 74613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74593 and 74613. First we will calculate the prime factors of 74593 and 74613.

Prime Factorization of 74593

Prime Factorization of 74613

Now multiplying the highest exponent prime factors to calculate the LCM of 74593 and 74613.

LCM(74593,74613) = 97¹ × 769¹ × 3¹ × 7¹ × 11¹ × 17¹ × 19¹
LCM(74593,74613) = 5565607509