What is the Least Common Multiple of 11360 and 11370?

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 11360 and 11370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11360 and 11370, than apply into the LCM equation.

GCF(11360,11370) = 10
LCM(11360,11370) = ( 11360 × 11370) / 10
LCM(11360,11370) = 129163200 / 10
LCM(11360,11370) = 12916320

Least Common Multiple (LCM) of 11360 and 11370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11360 and 11370. First we will calculate the prime factors of 11360 and 11370.

Prime Factorization of 11360

Prime Factorization of 11370

Now multiplying the highest exponent prime factors to calculate the LCM of 11360 and 11370.

LCM(11360,11370) = 2⁵ × 5¹ × 71¹ × 3¹ × 379¹
LCM(11360,11370) = 12916320