What is the Least Common Multiple of 52420 and 52438?

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 52420 and 52438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52420 and 52438, than apply into the LCM equation.

GCF(52420,52438) = 2
LCM(52420,52438) = ( 52420 × 52438) / 2
LCM(52420,52438) = 2748799960 / 2
LCM(52420,52438) = 1374399980

Least Common Multiple (LCM) of 52420 and 52438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52420 and 52438. First we will calculate the prime factors of 52420 and 52438.

Prime Factorization of 52420

Prime Factorization of 52438

Now multiplying the highest exponent prime factors to calculate the LCM of 52420 and 52438.

LCM(52420,52438) = 2² × 5¹ × 2621¹ × 157¹ × 167¹
LCM(52420,52438) = 1374399980