What is the Least Common Multiple of 53714 and 53734?

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 53714 and 53734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53714 and 53734, than apply into the LCM equation.

GCF(53714,53734) = 2
LCM(53714,53734) = ( 53714 × 53734) / 2
LCM(53714,53734) = 2886268076 / 2
LCM(53714,53734) = 1443134038

Least Common Multiple (LCM) of 53714 and 53734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53714 and 53734. First we will calculate the prime factors of 53714 and 53734.

Prime Factorization of 53714

Prime Factorization of 53734

Now multiplying the highest exponent prime factors to calculate the LCM of 53714 and 53734.

LCM(53714,53734) = 2¹ × 107¹ × 251¹ × 67¹ × 401¹
LCM(53714,53734) = 1443134038