What is the Least Common Multiple of 51354 and 51362?

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 51354 and 51362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51354 and 51362, than apply into the LCM equation.

GCF(51354,51362) = 2
LCM(51354,51362) = ( 51354 × 51362) / 2
LCM(51354,51362) = 2637644148 / 2
LCM(51354,51362) = 1318822074

Least Common Multiple (LCM) of 51354 and 51362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51354 and 51362. First we will calculate the prime factors of 51354 and 51362.

Prime Factorization of 51354

Prime Factorization of 51362

Now multiplying the highest exponent prime factors to calculate the LCM of 51354 and 51362.

LCM(51354,51362) = 2¹ × 3⁴ × 317¹ × 61¹ × 421¹
LCM(51354,51362) = 1318822074