What is the Least Common Multiple of 62702 and 62708?

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 62702 and 62708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62702 and 62708, than apply into the LCM equation.

GCF(62702,62708) = 2
LCM(62702,62708) = ( 62702 × 62708) / 2
LCM(62702,62708) = 3931917016 / 2
LCM(62702,62708) = 1965958508

Least Common Multiple (LCM) of 62702 and 62708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62702 and 62708. First we will calculate the prime factors of 62702 and 62708.

Prime Factorization of 62702

Prime Factorization of 62708

Now multiplying the highest exponent prime factors to calculate the LCM of 62702 and 62708.

LCM(62702,62708) = 2² × 107¹ × 293¹ × 61¹ × 257¹
LCM(62702,62708) = 1965958508