What is the Least Common Multiple of 53365 and 53378?

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 53365 and 53378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53365 and 53378, than apply into the LCM equation.

GCF(53365,53378) = 13
LCM(53365,53378) = ( 53365 × 53378) / 13
LCM(53365,53378) = 2848516970 / 13
LCM(53365,53378) = 219116690

Least Common Multiple (LCM) of 53365 and 53378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53365 and 53378. First we will calculate the prime factors of 53365 and 53378.

Prime Factorization of 53365

Prime Factorization of 53378

Now multiplying the highest exponent prime factors to calculate the LCM of 53365 and 53378.

LCM(53365,53378) = 5¹ × 13¹ × 821¹ × 2¹ × 2053¹
LCM(53365,53378) = 219116690