What is the Least Common Multiple of 53658 and 53678?

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 53658 and 53678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53658 and 53678, than apply into the LCM equation.

GCF(53658,53678) = 2
LCM(53658,53678) = ( 53658 × 53678) / 2
LCM(53658,53678) = 2880254124 / 2
LCM(53658,53678) = 1440127062

Least Common Multiple (LCM) of 53658 and 53678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53658 and 53678. First we will calculate the prime factors of 53658 and 53678.

Prime Factorization of 53658

Prime Factorization of 53678

Now multiplying the highest exponent prime factors to calculate the LCM of 53658 and 53678.

LCM(53658,53678) = 2¹ × 3² × 11¹ × 271¹ × 26839¹
LCM(53658,53678) = 1440127062