What is the Least Common Multiple of 53145 and 53158?

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 53145 and 53158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53145 and 53158, than apply into the LCM equation.

GCF(53145,53158) = 1
LCM(53145,53158) = ( 53145 × 53158) / 1
LCM(53145,53158) = 2825081910 / 1
LCM(53145,53158) = 2825081910

Least Common Multiple (LCM) of 53145 and 53158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53145 and 53158. First we will calculate the prime factors of 53145 and 53158.

Prime Factorization of 53145

Prime Factorization of 53158

Now multiplying the highest exponent prime factors to calculate the LCM of 53145 and 53158.

LCM(53145,53158) = 3² × 5¹ × 1181¹ × 2¹ × 7¹ × 3797¹
LCM(53145,53158) = 2825081910