What is the Least Common Multiple of 53378 and 53398?

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 53378 and 53398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53378 and 53398, than apply into the LCM equation.

GCF(53378,53398) = 2
LCM(53378,53398) = ( 53378 × 53398) / 2
LCM(53378,53398) = 2850278444 / 2
LCM(53378,53398) = 1425139222

Least Common Multiple (LCM) of 53378 and 53398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53378 and 53398. First we will calculate the prime factors of 53378 and 53398.

Prime Factorization of 53378

Prime Factorization of 53398

Now multiplying the highest exponent prime factors to calculate the LCM of 53378 and 53398.

LCM(53378,53398) = 2¹ × 13¹ × 2053¹ × 26699¹
LCM(53378,53398) = 1425139222