What is the Least Common Multiple of 59415 and 59429?

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 59415 and 59429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59415 and 59429, than apply into the LCM equation.

GCF(59415,59429) = 1
LCM(59415,59429) = ( 59415 × 59429) / 1
LCM(59415,59429) = 3530974035 / 1
LCM(59415,59429) = 3530974035

Least Common Multiple (LCM) of 59415 and 59429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59415 and 59429. First we will calculate the prime factors of 59415 and 59429.

Prime Factorization of 59415

Prime Factorization of 59429

Now multiplying the highest exponent prime factors to calculate the LCM of 59415 and 59429.

LCM(59415,59429) = 3¹ × 5¹ × 17¹ × 233¹ × 67¹ × 887¹
LCM(59415,59429) = 3530974035