What is the Least Common Multiple of 48454 and 48470?

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 48454 and 48470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48454 and 48470, than apply into the LCM equation.

GCF(48454,48470) = 2
LCM(48454,48470) = ( 48454 × 48470) / 2
LCM(48454,48470) = 2348565380 / 2
LCM(48454,48470) = 1174282690

Least Common Multiple (LCM) of 48454 and 48470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48454 and 48470. First we will calculate the prime factors of 48454 and 48470.

Prime Factorization of 48454

Prime Factorization of 48470

Now multiplying the highest exponent prime factors to calculate the LCM of 48454 and 48470.

LCM(48454,48470) = 2¹ × 7¹ × 3461¹ × 5¹ × 37¹ × 131¹
LCM(48454,48470) = 1174282690