What is the Least Common Multiple of 53076 and 53085?

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 53076 and 53085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53076 and 53085, than apply into the LCM equation.

GCF(53076,53085) = 3
LCM(53076,53085) = ( 53076 × 53085) / 3
LCM(53076,53085) = 2817539460 / 3
LCM(53076,53085) = 939179820

Least Common Multiple (LCM) of 53076 and 53085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53076 and 53085. First we will calculate the prime factors of 53076 and 53085.

Prime Factorization of 53076

Prime Factorization of 53085

Now multiplying the highest exponent prime factors to calculate the LCM of 53076 and 53085.

LCM(53076,53085) = 2² × 3¹ × 4423¹ × 5¹ × 3539¹
LCM(53076,53085) = 939179820