What is the Least Common Multiple of 53378 and 53386?

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 53386 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 53386, than apply into the LCM equation.

GCF(53378,53386) = 2
LCM(53378,53386) = ( 53378 × 53386) / 2
LCM(53378,53386) = 2849637908 / 2
LCM(53378,53386) = 1424818954

Least Common Multiple (LCM) of 53378 and 53386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53378 and 53386. First we will calculate the prime factors of 53378 and 53386.

Prime Factorization of 53378

Prime Factorization of 53386

Now multiplying the highest exponent prime factors to calculate the LCM of 53378 and 53386.

LCM(53378,53386) = 2¹ × 13¹ × 2053¹ × 26693¹
LCM(53378,53386) = 1424818954