What is the Least Common Multiple of 16435 and 16455?

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 16435 and 16455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16435 and 16455, than apply into the LCM equation.

GCF(16435,16455) = 5
LCM(16435,16455) = ( 16435 × 16455) / 5
LCM(16435,16455) = 270437925 / 5
LCM(16435,16455) = 54087585

Least Common Multiple (LCM) of 16435 and 16455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16435 and 16455. First we will calculate the prime factors of 16435 and 16455.

Prime Factorization of 16435

Prime Factorization of 16455

Now multiplying the highest exponent prime factors to calculate the LCM of 16435 and 16455.

LCM(16435,16455) = 5¹ × 19¹ × 173¹ × 3¹ × 1097¹
LCM(16435,16455) = 54087585