What is the Least Common Multiple of 57750 and 57754?

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 57750 and 57754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57750 and 57754, than apply into the LCM equation.

GCF(57750,57754) = 2
LCM(57750,57754) = ( 57750 × 57754) / 2
LCM(57750,57754) = 3335293500 / 2
LCM(57750,57754) = 1667646750

Least Common Multiple (LCM) of 57750 and 57754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57750 and 57754. First we will calculate the prime factors of 57750 and 57754.

Prime Factorization of 57750

Prime Factorization of 57754

Now multiplying the highest exponent prime factors to calculate the LCM of 57750 and 57754.

LCM(57750,57754) = 2¹ × 3¹ × 5³ × 7¹ × 11¹ × 67¹ × 431¹
LCM(57750,57754) = 1667646750