What is the Least Common Multiple of 65415 and 65429?

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 65415 and 65429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65415 and 65429, than apply into the LCM equation.

GCF(65415,65429) = 7
LCM(65415,65429) = ( 65415 × 65429) / 7
LCM(65415,65429) = 4280038035 / 7
LCM(65415,65429) = 611434005

Least Common Multiple (LCM) of 65415 and 65429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65415 and 65429. First we will calculate the prime factors of 65415 and 65429.

Prime Factorization of 65415

Prime Factorization of 65429

Now multiplying the highest exponent prime factors to calculate the LCM of 65415 and 65429.

LCM(65415,65429) = 3¹ × 5¹ × 7² × 89¹ × 13¹ × 719¹
LCM(65415,65429) = 611434005