What is the Least Common Multiple of 72409 and 72429?

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 72409 and 72429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72409 and 72429, than apply into the LCM equation.

GCF(72409,72429) = 1
LCM(72409,72429) = ( 72409 × 72429) / 1
LCM(72409,72429) = 5244511461 / 1
LCM(72409,72429) = 5244511461

Least Common Multiple (LCM) of 72409 and 72429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72409 and 72429. First we will calculate the prime factors of 72409 and 72429.

Prime Factorization of 72409

Prime Factorization of 72429

Now multiplying the highest exponent prime factors to calculate the LCM of 72409 and 72429.

LCM(72409,72429) = 19¹ × 37¹ × 103¹ × 3¹ × 7¹ × 3449¹
LCM(72409,72429) = 5244511461