What is the Least Common Multiple of 53442 and 53451?

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 53442 and 53451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53442 and 53451, than apply into the LCM equation.

GCF(53442,53451) = 9
LCM(53442,53451) = ( 53442 × 53451) / 9
LCM(53442,53451) = 2856528342 / 9
LCM(53442,53451) = 317392038

Least Common Multiple (LCM) of 53442 and 53451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53442 and 53451. First we will calculate the prime factors of 53442 and 53451.

Prime Factorization of 53442

Prime Factorization of 53451

Now multiplying the highest exponent prime factors to calculate the LCM of 53442 and 53451.

LCM(53442,53451) = 2¹ × 3² × 2969¹ × 5939¹
LCM(53442,53451) = 317392038