What is the Least Common Multiple of 51454 and 51458?

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 51454 and 51458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51454 and 51458, than apply into the LCM equation.

GCF(51454,51458) = 2
LCM(51454,51458) = ( 51454 × 51458) / 2
LCM(51454,51458) = 2647719932 / 2
LCM(51454,51458) = 1323859966

Least Common Multiple (LCM) of 51454 and 51458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51454 and 51458. First we will calculate the prime factors of 51454 and 51458.

Prime Factorization of 51454

Prime Factorization of 51458

Now multiplying the highest exponent prime factors to calculate the LCM of 51454 and 51458.

LCM(51454,51458) = 2¹ × 13¹ × 1979¹ × 11¹ × 2339¹
LCM(51454,51458) = 1323859966