What is the Least Common Multiple of 53655 and 53671?

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 53655 and 53671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53655 and 53671, than apply into the LCM equation.

GCF(53655,53671) = 1
LCM(53655,53671) = ( 53655 × 53671) / 1
LCM(53655,53671) = 2879717505 / 1
LCM(53655,53671) = 2879717505

Least Common Multiple (LCM) of 53655 and 53671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53655 and 53671. First we will calculate the prime factors of 53655 and 53671.

Prime Factorization of 53655

Prime Factorization of 53671

Now multiplying the highest exponent prime factors to calculate the LCM of 53655 and 53671.

LCM(53655,53671) = 3¹ × 5¹ × 7² × 73¹ × 191¹ × 281¹
LCM(53655,53671) = 2879717505