What is the Least Common Multiple of 51429 and 51436?

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 51429 and 51436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51429 and 51436, than apply into the LCM equation.

GCF(51429,51436) = 7
LCM(51429,51436) = ( 51429 × 51436) / 7
LCM(51429,51436) = 2645302044 / 7
LCM(51429,51436) = 377900292

Least Common Multiple (LCM) of 51429 and 51436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51429 and 51436. First we will calculate the prime factors of 51429 and 51436.

Prime Factorization of 51429

Prime Factorization of 51436

Now multiplying the highest exponent prime factors to calculate the LCM of 51429 and 51436.

LCM(51429,51436) = 3¹ × 7¹ × 31¹ × 79¹ × 2² × 11¹ × 167¹
LCM(51429,51436) = 377900292