What is the Least Common Multiple of 62448 and 62460?

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 62448 and 62460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62448 and 62460, than apply into the LCM equation.

GCF(62448,62460) = 12
LCM(62448,62460) = ( 62448 × 62460) / 12
LCM(62448,62460) = 3900502080 / 12
LCM(62448,62460) = 325041840

Least Common Multiple (LCM) of 62448 and 62460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62448 and 62460. First we will calculate the prime factors of 62448 and 62460.

Prime Factorization of 62448

Prime Factorization of 62460

Now multiplying the highest exponent prime factors to calculate the LCM of 62448 and 62460.

LCM(62448,62460) = 2⁴ × 3² × 1301¹ × 5¹ × 347¹
LCM(62448,62460) = 325041840