What is the Least Common Multiple of 52431 and 52451?

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 52431 and 52451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52431 and 52451, than apply into the LCM equation.

GCF(52431,52451) = 1
LCM(52431,52451) = ( 52431 × 52451) / 1
LCM(52431,52451) = 2750058381 / 1
LCM(52431,52451) = 2750058381

Least Common Multiple (LCM) of 52431 and 52451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52431 and 52451. First we will calculate the prime factors of 52431 and 52451.

Prime Factorization of 52431

Prime Factorization of 52451

Now multiplying the highest exponent prime factors to calculate the LCM of 52431 and 52451.

LCM(52431,52451) = 3¹ × 17477¹ × 7¹ × 59¹ × 127¹
LCM(52431,52451) = 2750058381