What is the Least Common Multiple of 10740 and 10751?

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 10740 and 10751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10740 and 10751, than apply into the LCM equation.

GCF(10740,10751) = 1
LCM(10740,10751) = ( 10740 × 10751) / 1
LCM(10740,10751) = 115465740 / 1
LCM(10740,10751) = 115465740

Least Common Multiple (LCM) of 10740 and 10751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10740 and 10751. First we will calculate the prime factors of 10740 and 10751.

Prime Factorization of 10740

Prime Factorization of 10751

Now multiplying the highest exponent prime factors to calculate the LCM of 10740 and 10751.

LCM(10740,10751) = 2² × 3¹ × 5¹ × 179¹ × 13¹ × 827¹
LCM(10740,10751) = 115465740