What is the Least Common Multiple of 53710 and 53730?

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 53710 and 53730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53710 and 53730, than apply into the LCM equation.

GCF(53710,53730) = 10
LCM(53710,53730) = ( 53710 × 53730) / 10
LCM(53710,53730) = 2885838300 / 10
LCM(53710,53730) = 288583830

Least Common Multiple (LCM) of 53710 and 53730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53710 and 53730. First we will calculate the prime factors of 53710 and 53730.

Prime Factorization of 53710

Prime Factorization of 53730

Now multiplying the highest exponent prime factors to calculate the LCM of 53710 and 53730.

LCM(53710,53730) = 2¹ × 5¹ × 41¹ × 131¹ × 3³ × 199¹
LCM(53710,53730) = 288583830