What is the Least Common Multiple of 62368 and 62380?

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 62368 and 62380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62368 and 62380, than apply into the LCM equation.

GCF(62368,62380) = 4
LCM(62368,62380) = ( 62368 × 62380) / 4
LCM(62368,62380) = 3890515840 / 4
LCM(62368,62380) = 972628960

Least Common Multiple (LCM) of 62368 and 62380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62368 and 62380. First we will calculate the prime factors of 62368 and 62380.

Prime Factorization of 62368

Prime Factorization of 62380

Now multiplying the highest exponent prime factors to calculate the LCM of 62368 and 62380.

LCM(62368,62380) = 2⁵ × 1949¹ × 5¹ × 3119¹
LCM(62368,62380) = 972628960