What is the Least Common Multiple of 5364 and 5374?

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 5364 and 5374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5364 and 5374, than apply into the LCM equation.

GCF(5364,5374) = 2
LCM(5364,5374) = ( 5364 × 5374) / 2
LCM(5364,5374) = 28826136 / 2
LCM(5364,5374) = 14413068

Least Common Multiple (LCM) of 5364 and 5374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5364 and 5374. First we will calculate the prime factors of 5364 and 5374.

Prime Factorization of 5364

Prime Factorization of 5374

Now multiplying the highest exponent prime factors to calculate the LCM of 5364 and 5374.

LCM(5364,5374) = 2² × 3² × 149¹ × 2687¹
LCM(5364,5374) = 14413068