What is the Least Common Multiple of 29505 and 29519?

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 29505 and 29519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29505 and 29519, than apply into the LCM equation.

GCF(29505,29519) = 7
LCM(29505,29519) = ( 29505 × 29519) / 7
LCM(29505,29519) = 870958095 / 7
LCM(29505,29519) = 124422585

Least Common Multiple (LCM) of 29505 and 29519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29505 and 29519. First we will calculate the prime factors of 29505 and 29519.

Prime Factorization of 29505

Prime Factorization of 29519

Now multiplying the highest exponent prime factors to calculate the LCM of 29505 and 29519.

LCM(29505,29519) = 3¹ × 5¹ × 7¹ × 281¹ × 4217¹
LCM(29505,29519) = 124422585