What is the Least Common Multiple of 53678 and 53686?

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 53678 and 53686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53678 and 53686, than apply into the LCM equation.

GCF(53678,53686) = 2
LCM(53678,53686) = ( 53678 × 53686) / 2
LCM(53678,53686) = 2881757108 / 2
LCM(53678,53686) = 1440878554

Least Common Multiple (LCM) of 53678 and 53686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53678 and 53686. First we will calculate the prime factors of 53678 and 53686.

Prime Factorization of 53678

Prime Factorization of 53686

Now multiplying the highest exponent prime factors to calculate the LCM of 53678 and 53686.

LCM(53678,53686) = 2¹ × 26839¹ × 17¹ × 1579¹
LCM(53678,53686) = 1440878554