What is the Least Common Multiple of 74705 and 74721?

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 74705 and 74721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74705 and 74721, than apply into the LCM equation.

GCF(74705,74721) = 1
LCM(74705,74721) = ( 74705 × 74721) / 1
LCM(74705,74721) = 5582032305 / 1
LCM(74705,74721) = 5582032305

Least Common Multiple (LCM) of 74705 and 74721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74705 and 74721. First we will calculate the prime factors of 74705 and 74721.

Prime Factorization of 74705

Prime Factorization of 74721

Now multiplying the highest exponent prime factors to calculate the LCM of 74705 and 74721.

LCM(74705,74721) = 5¹ × 67¹ × 223¹ × 3¹ × 24907¹
LCM(74705,74721) = 5582032305