What is the Least Common Multiple of 53152 and 53167?

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 53152 and 53167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53152 and 53167, than apply into the LCM equation.

GCF(53152,53167) = 1
LCM(53152,53167) = ( 53152 × 53167) / 1
LCM(53152,53167) = 2825932384 / 1
LCM(53152,53167) = 2825932384

Least Common Multiple (LCM) of 53152 and 53167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53152 and 53167. First we will calculate the prime factors of 53152 and 53167.

Prime Factorization of 53152

Prime Factorization of 53167

Now multiplying the highest exponent prime factors to calculate the LCM of 53152 and 53167.

LCM(53152,53167) = 2⁵ × 11¹ × 151¹ × 79¹ × 673¹
LCM(53152,53167) = 2825932384