What is the Least Common Multiple of 53156 and 53173?

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 53156 and 53173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53156 and 53173, than apply into the LCM equation.

GCF(53156,53173) = 1
LCM(53156,53173) = ( 53156 × 53173) / 1
LCM(53156,53173) = 2826463988 / 1
LCM(53156,53173) = 2826463988

Least Common Multiple (LCM) of 53156 and 53173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53156 and 53173. First we will calculate the prime factors of 53156 and 53173.

Prime Factorization of 53156

Prime Factorization of 53173

Now multiplying the highest exponent prime factors to calculate the LCM of 53156 and 53173.

LCM(53156,53173) = 2² × 97¹ × 137¹ × 53173¹
LCM(53156,53173) = 2826463988