What is the Least Common Multiple of 53178 and 53182?

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 53178 and 53182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53178 and 53182, than apply into the LCM equation.

GCF(53178,53182) = 2
LCM(53178,53182) = ( 53178 × 53182) / 2
LCM(53178,53182) = 2828112396 / 2
LCM(53178,53182) = 1414056198

Least Common Multiple (LCM) of 53178 and 53182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53178 and 53182. First we will calculate the prime factors of 53178 and 53182.

Prime Factorization of 53178

Prime Factorization of 53182

Now multiplying the highest exponent prime factors to calculate the LCM of 53178 and 53182.

LCM(53178,53182) = 2¹ × 3¹ × 8863¹ × 26591¹
LCM(53178,53182) = 1414056198