What is the Least Common Multiple of 53829 and 53835?

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 53829 and 53835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53829 and 53835, than apply into the LCM equation.

GCF(53829,53835) = 3
LCM(53829,53835) = ( 53829 × 53835) / 3
LCM(53829,53835) = 2897884215 / 3
LCM(53829,53835) = 965961405

Least Common Multiple (LCM) of 53829 and 53835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53829 and 53835. First we will calculate the prime factors of 53829 and 53835.

Prime Factorization of 53829

Prime Factorization of 53835

Now multiplying the highest exponent prime factors to calculate the LCM of 53829 and 53835.

LCM(53829,53835) = 3² × 5981¹ × 5¹ × 37¹ × 97¹
LCM(53829,53835) = 965961405