What is the Least Common Multiple of 52350 and 52365?

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 52350 and 52365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52350 and 52365, than apply into the LCM equation.

GCF(52350,52365) = 15
LCM(52350,52365) = ( 52350 × 52365) / 15
LCM(52350,52365) = 2741307750 / 15
LCM(52350,52365) = 182753850

Least Common Multiple (LCM) of 52350 and 52365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52350 and 52365. First we will calculate the prime factors of 52350 and 52365.

Prime Factorization of 52350

Prime Factorization of 52365

Now multiplying the highest exponent prime factors to calculate the LCM of 52350 and 52365.

LCM(52350,52365) = 2¹ × 3¹ × 5² × 349¹ × 3491¹
LCM(52350,52365) = 182753850