What is the Least Common Multiple of 5436 and 5455?

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 5436 and 5455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5436 and 5455, than apply into the LCM equation.

GCF(5436,5455) = 1
LCM(5436,5455) = ( 5436 × 5455) / 1
LCM(5436,5455) = 29653380 / 1
LCM(5436,5455) = 29653380

Least Common Multiple (LCM) of 5436 and 5455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5436 and 5455. First we will calculate the prime factors of 5436 and 5455.

Prime Factorization of 5436

Prime Factorization of 5455

Now multiplying the highest exponent prime factors to calculate the LCM of 5436 and 5455.

LCM(5436,5455) = 2² × 3² × 151¹ × 5¹ × 1091¹
LCM(5436,5455) = 29653380