What is the Least Common Multiple of 51576 and 51590?

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 51576 and 51590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51576 and 51590, than apply into the LCM equation.

GCF(51576,51590) = 14
LCM(51576,51590) = ( 51576 × 51590) / 14
LCM(51576,51590) = 2660805840 / 14
LCM(51576,51590) = 190057560

Least Common Multiple (LCM) of 51576 and 51590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51576 and 51590. First we will calculate the prime factors of 51576 and 51590.

Prime Factorization of 51576

Prime Factorization of 51590

Now multiplying the highest exponent prime factors to calculate the LCM of 51576 and 51590.

LCM(51576,51590) = 2³ × 3¹ × 7¹ × 307¹ × 5¹ × 11¹ × 67¹
LCM(51576,51590) = 190057560