What is the Least Common Multiple of 62454 and 62464?

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 62454 and 62464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62454 and 62464, than apply into the LCM equation.

GCF(62454,62464) = 2
LCM(62454,62464) = ( 62454 × 62464) / 2
LCM(62454,62464) = 3901126656 / 2
LCM(62454,62464) = 1950563328

Least Common Multiple (LCM) of 62454 and 62464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62454 and 62464. First we will calculate the prime factors of 62454 and 62464.

Prime Factorization of 62454

Prime Factorization of 62464

Now multiplying the highest exponent prime factors to calculate the LCM of 62454 and 62464.

LCM(62454,62464) = 2¹⁰ × 3¹ × 7¹ × 1487¹ × 61¹
LCM(62454,62464) = 1950563328