What is the Least Common Multiple of 51905 and 51920?

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 51905 and 51920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51905 and 51920, than apply into the LCM equation.

GCF(51905,51920) = 5
LCM(51905,51920) = ( 51905 × 51920) / 5
LCM(51905,51920) = 2694907600 / 5
LCM(51905,51920) = 538981520

Least Common Multiple (LCM) of 51905 and 51920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51905 and 51920. First we will calculate the prime factors of 51905 and 51920.

Prime Factorization of 51905

Prime Factorization of 51920

Now multiplying the highest exponent prime factors to calculate the LCM of 51905 and 51920.

LCM(51905,51920) = 5¹ × 7¹ × 1483¹ × 2⁴ × 11¹ × 59¹
LCM(51905,51920) = 538981520