What is the Least Common Multiple of 83436 and 83455?

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 83436 and 83455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83436 and 83455, than apply into the LCM equation.

GCF(83436,83455) = 1
LCM(83436,83455) = ( 83436 × 83455) / 1
LCM(83436,83455) = 6963151380 / 1
LCM(83436,83455) = 6963151380

Least Common Multiple (LCM) of 83436 and 83455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83436 and 83455. First we will calculate the prime factors of 83436 and 83455.

Prime Factorization of 83436

Prime Factorization of 83455

Now multiplying the highest exponent prime factors to calculate the LCM of 83436 and 83455.

LCM(83436,83455) = 2² × 3¹ × 17¹ × 409¹ × 5¹ × 16691¹
LCM(83436,83455) = 6963151380