What is the Least Common Multiple of 11374 and 11380?

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 11374 and 11380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11374 and 11380, than apply into the LCM equation.

GCF(11374,11380) = 2
LCM(11374,11380) = ( 11374 × 11380) / 2
LCM(11374,11380) = 129436120 / 2
LCM(11374,11380) = 64718060

Least Common Multiple (LCM) of 11374 and 11380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11374 and 11380. First we will calculate the prime factors of 11374 and 11380.

Prime Factorization of 11374

Prime Factorization of 11380

Now multiplying the highest exponent prime factors to calculate the LCM of 11374 and 11380.

LCM(11374,11380) = 2² × 11² × 47¹ × 5¹ × 569¹
LCM(11374,11380) = 64718060