What is the Least Common Multiple of 10738 and 10758?

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 10738 and 10758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10738 and 10758, than apply into the LCM equation.

GCF(10738,10758) = 2
LCM(10738,10758) = ( 10738 × 10758) / 2
LCM(10738,10758) = 115519404 / 2
LCM(10738,10758) = 57759702

Least Common Multiple (LCM) of 10738 and 10758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10738 and 10758. First we will calculate the prime factors of 10738 and 10758.

Prime Factorization of 10738

Prime Factorization of 10758

Now multiplying the highest exponent prime factors to calculate the LCM of 10738 and 10758.

LCM(10738,10758) = 2¹ × 7¹ × 13¹ × 59¹ × 3¹ × 11¹ × 163¹
LCM(10738,10758) = 57759702