What is the Least Common Multiple of 62514 and 62528?

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 62514 and 62528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62514 and 62528, than apply into the LCM equation.

GCF(62514,62528) = 2
LCM(62514,62528) = ( 62514 × 62528) / 2
LCM(62514,62528) = 3908875392 / 2
LCM(62514,62528) = 1954437696

Least Common Multiple (LCM) of 62514 and 62528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62514 and 62528. First we will calculate the prime factors of 62514 and 62528.

Prime Factorization of 62514

Prime Factorization of 62528

Now multiplying the highest exponent prime factors to calculate the LCM of 62514 and 62528.

LCM(62514,62528) = 2⁶ × 3² × 23¹ × 151¹ × 977¹
LCM(62514,62528) = 1954437696