What is the Least Common Multiple of 52915 and 52934?

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 52915 and 52934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52915 and 52934, than apply into the LCM equation.

GCF(52915,52934) = 19
LCM(52915,52934) = ( 52915 × 52934) / 19
LCM(52915,52934) = 2801002610 / 19
LCM(52915,52934) = 147421190

Least Common Multiple (LCM) of 52915 and 52934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52915 and 52934. First we will calculate the prime factors of 52915 and 52934.

Prime Factorization of 52915

Prime Factorization of 52934

Now multiplying the highest exponent prime factors to calculate the LCM of 52915 and 52934.

LCM(52915,52934) = 5¹ × 19¹ × 557¹ × 2¹ × 7¹ × 199¹
LCM(52915,52934) = 147421190