What is the Least Common Multiple of 62448 and 62461?

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 62461 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 62461, than apply into the LCM equation.

GCF(62448,62461) = 1
LCM(62448,62461) = ( 62448 × 62461) / 1
LCM(62448,62461) = 3900564528 / 1
LCM(62448,62461) = 3900564528

Least Common Multiple (LCM) of 62448 and 62461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62448 and 62461. First we will calculate the prime factors of 62448 and 62461.

Prime Factorization of 62448

Prime Factorization of 62461

Now multiplying the highest exponent prime factors to calculate the LCM of 62448 and 62461.

LCM(62448,62461) = 2⁴ × 3¹ × 1301¹ × 7¹ × 8923¹
LCM(62448,62461) = 3900564528