What is the Least Common Multiple of 51674 and 51685?

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 51674 and 51685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51674 and 51685, than apply into the LCM equation.

GCF(51674,51685) = 1
LCM(51674,51685) = ( 51674 × 51685) / 1
LCM(51674,51685) = 2670770690 / 1
LCM(51674,51685) = 2670770690

Least Common Multiple (LCM) of 51674 and 51685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51674 and 51685. First we will calculate the prime factors of 51674 and 51685.

Prime Factorization of 51674

Prime Factorization of 51685

Now multiplying the highest exponent prime factors to calculate the LCM of 51674 and 51685.

LCM(51674,51685) = 2¹ × 7¹ × 3691¹ × 5¹ × 10337¹
LCM(51674,51685) = 2670770690