What is the Least Common Multiple of 5420 and 5438?

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 5420 and 5438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5420 and 5438, than apply into the LCM equation.

GCF(5420,5438) = 2
LCM(5420,5438) = ( 5420 × 5438) / 2
LCM(5420,5438) = 29473960 / 2
LCM(5420,5438) = 14736980

Least Common Multiple (LCM) of 5420 and 5438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5420 and 5438. First we will calculate the prime factors of 5420 and 5438.

Prime Factorization of 5420

Prime Factorization of 5438

Now multiplying the highest exponent prime factors to calculate the LCM of 5420 and 5438.

LCM(5420,5438) = 2² × 5¹ × 271¹ × 2719¹
LCM(5420,5438) = 14736980