What is the Least Common Multiple of 53974 and 53981?

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 53974 and 53981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53974 and 53981, than apply into the LCM equation.

GCF(53974,53981) = 1
LCM(53974,53981) = ( 53974 × 53981) / 1
LCM(53974,53981) = 2913570494 / 1
LCM(53974,53981) = 2913570494

Least Common Multiple (LCM) of 53974 and 53981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53974 and 53981. First we will calculate the prime factors of 53974 and 53981.

Prime Factorization of 53974

Prime Factorization of 53981

Now multiplying the highest exponent prime factors to calculate the LCM of 53974 and 53981.

LCM(53974,53981) = 2¹ × 26987¹ × 23¹ × 2347¹
LCM(53974,53981) = 2913570494