What is the Least Common Multiple of 53825 and 53830?

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 53825 and 53830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53825 and 53830, than apply into the LCM equation.

GCF(53825,53830) = 5
LCM(53825,53830) = ( 53825 × 53830) / 5
LCM(53825,53830) = 2897399750 / 5
LCM(53825,53830) = 579479950

Least Common Multiple (LCM) of 53825 and 53830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53825 and 53830. First we will calculate the prime factors of 53825 and 53830.

Prime Factorization of 53825

Prime Factorization of 53830

Now multiplying the highest exponent prime factors to calculate the LCM of 53825 and 53830.

LCM(53825,53830) = 5² × 2153¹ × 2¹ × 7¹ × 769¹
LCM(53825,53830) = 579479950