What is the Least Common Multiple of 43710 and 43730?

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 43710 and 43730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43710 and 43730, than apply into the LCM equation.

GCF(43710,43730) = 10
LCM(43710,43730) = ( 43710 × 43730) / 10
LCM(43710,43730) = 1911438300 / 10
LCM(43710,43730) = 191143830

Least Common Multiple (LCM) of 43710 and 43730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43710 and 43730. First we will calculate the prime factors of 43710 and 43730.

Prime Factorization of 43710

Prime Factorization of 43730

Now multiplying the highest exponent prime factors to calculate the LCM of 43710 and 43730.

LCM(43710,43730) = 2¹ × 3¹ × 5¹ × 31¹ × 47¹ × 4373¹
LCM(43710,43730) = 191143830