What is the Least Common Multiple of 51920 and 51940?

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 51920 and 51940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51920 and 51940, than apply into the LCM equation.

GCF(51920,51940) = 20
LCM(51920,51940) = ( 51920 × 51940) / 20
LCM(51920,51940) = 2696724800 / 20
LCM(51920,51940) = 134836240

Least Common Multiple (LCM) of 51920 and 51940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51920 and 51940. First we will calculate the prime factors of 51920 and 51940.

Prime Factorization of 51920

Prime Factorization of 51940

Now multiplying the highest exponent prime factors to calculate the LCM of 51920 and 51940.

LCM(51920,51940) = 2⁴ × 5¹ × 11¹ × 59¹ × 7² × 53¹
LCM(51920,51940) = 134836240