What is the Least Common Multiple of 51569 and 51576?

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 51569 and 51576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51569 and 51576, than apply into the LCM equation.

GCF(51569,51576) = 7
LCM(51569,51576) = ( 51569 × 51576) / 7
LCM(51569,51576) = 2659722744 / 7
LCM(51569,51576) = 379960392

Least Common Multiple (LCM) of 51569 and 51576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51569 and 51576. First we will calculate the prime factors of 51569 and 51576.

Prime Factorization of 51569

Prime Factorization of 51576

Now multiplying the highest exponent prime factors to calculate the LCM of 51569 and 51576.

LCM(51569,51576) = 7¹ × 53¹ × 139¹ × 2³ × 3¹ × 307¹
LCM(51569,51576) = 379960392