What is the Least Common Multiple of 52605 and 52614?

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 52605 and 52614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52605 and 52614, than apply into the LCM equation.

GCF(52605,52614) = 9
LCM(52605,52614) = ( 52605 × 52614) / 9
LCM(52605,52614) = 2767759470 / 9
LCM(52605,52614) = 307528830

Least Common Multiple (LCM) of 52605 and 52614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52605 and 52614. First we will calculate the prime factors of 52605 and 52614.

Prime Factorization of 52605

Prime Factorization of 52614

Now multiplying the highest exponent prime factors to calculate the LCM of 52605 and 52614.

LCM(52605,52614) = 3² × 5¹ × 7¹ × 167¹ × 2¹ × 37¹ × 79¹
LCM(52605,52614) = 307528830