What is the Least Common Multiple of 51740 and 51758?

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 51740 and 51758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51740 and 51758, than apply into the LCM equation.

GCF(51740,51758) = 2
LCM(51740,51758) = ( 51740 × 51758) / 2
LCM(51740,51758) = 2677958920 / 2
LCM(51740,51758) = 1338979460

Least Common Multiple (LCM) of 51740 and 51758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51740 and 51758. First we will calculate the prime factors of 51740 and 51758.

Prime Factorization of 51740

Prime Factorization of 51758

Now multiplying the highest exponent prime factors to calculate the LCM of 51740 and 51758.

LCM(51740,51758) = 2² × 5¹ × 13¹ × 199¹ × 7¹ × 3697¹
LCM(51740,51758) = 1338979460