What is the Least Common Multiple of 51990 and 52005?

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 51990 and 52005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51990 and 52005, than apply into the LCM equation.

GCF(51990,52005) = 15
LCM(51990,52005) = ( 51990 × 52005) / 15
LCM(51990,52005) = 2703739950 / 15
LCM(51990,52005) = 180249330

Least Common Multiple (LCM) of 51990 and 52005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51990 and 52005. First we will calculate the prime factors of 51990 and 52005.

Prime Factorization of 51990

Prime Factorization of 52005

Now multiplying the highest exponent prime factors to calculate the LCM of 51990 and 52005.

LCM(51990,52005) = 2¹ × 3¹ × 5¹ × 1733¹ × 3467¹
LCM(51990,52005) = 180249330