What is the Least Common Multiple of 62052 and 62064?

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 62052 and 62064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62052 and 62064, than apply into the LCM equation.

GCF(62052,62064) = 12
LCM(62052,62064) = ( 62052 × 62064) / 12
LCM(62052,62064) = 3851195328 / 12
LCM(62052,62064) = 320932944

Least Common Multiple (LCM) of 62052 and 62064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62052 and 62064. First we will calculate the prime factors of 62052 and 62064.

Prime Factorization of 62052

Prime Factorization of 62064

Now multiplying the highest exponent prime factors to calculate the LCM of 62052 and 62064.

LCM(62052,62064) = 2⁴ × 3² × 5171¹ × 431¹
LCM(62052,62064) = 320932944