What is the Least Common Multiple of 45710 and 45730?

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 45710 and 45730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45710 and 45730, than apply into the LCM equation.

GCF(45710,45730) = 10
LCM(45710,45730) = ( 45710 × 45730) / 10
LCM(45710,45730) = 2090318300 / 10
LCM(45710,45730) = 209031830

Least Common Multiple (LCM) of 45710 and 45730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45710 and 45730. First we will calculate the prime factors of 45710 and 45730.

Prime Factorization of 45710

Prime Factorization of 45730

Now multiplying the highest exponent prime factors to calculate the LCM of 45710 and 45730.

LCM(45710,45730) = 2¹ × 5¹ × 7¹ × 653¹ × 17¹ × 269¹
LCM(45710,45730) = 209031830