What is the Least Common Multiple of 75454 and 75462?

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 75454 and 75462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75454 and 75462, than apply into the LCM equation.

GCF(75454,75462) = 2
LCM(75454,75462) = ( 75454 × 75462) / 2
LCM(75454,75462) = 5693909748 / 2
LCM(75454,75462) = 2846954874

Least Common Multiple (LCM) of 75454 and 75462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75454 and 75462. First we will calculate the prime factors of 75454 and 75462.

Prime Factorization of 75454

Prime Factorization of 75462

Now multiplying the highest exponent prime factors to calculate the LCM of 75454 and 75462.

LCM(75454,75462) = 2¹ × 31¹ × 1217¹ × 3¹ × 12577¹
LCM(75454,75462) = 2846954874