What is the Least Common Multiple of 62464 and 62474?

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 62464 and 62474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62464 and 62474, than apply into the LCM equation.

GCF(62464,62474) = 2
LCM(62464,62474) = ( 62464 × 62474) / 2
LCM(62464,62474) = 3902375936 / 2
LCM(62464,62474) = 1951187968

Least Common Multiple (LCM) of 62464 and 62474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62464 and 62474. First we will calculate the prime factors of 62464 and 62474.

Prime Factorization of 62464

Prime Factorization of 62474

Now multiplying the highest exponent prime factors to calculate the LCM of 62464 and 62474.

LCM(62464,62474) = 2¹⁰ × 61¹ × 31237¹
LCM(62464,62474) = 1951187968