What is the Least Common Multiple of 52700 and 52714?

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 52700 and 52714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52700 and 52714, than apply into the LCM equation.

GCF(52700,52714) = 2
LCM(52700,52714) = ( 52700 × 52714) / 2
LCM(52700,52714) = 2778027800 / 2
LCM(52700,52714) = 1389013900

Least Common Multiple (LCM) of 52700 and 52714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52700 and 52714. First we will calculate the prime factors of 52700 and 52714.

Prime Factorization of 52700

Prime Factorization of 52714

Now multiplying the highest exponent prime factors to calculate the LCM of 52700 and 52714.

LCM(52700,52714) = 2² × 5² × 17¹ × 31¹ × 26357¹
LCM(52700,52714) = 1389013900