What is the Least Common Multiple of 47702 and 47714?

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 47702 and 47714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47702 and 47714, than apply into the LCM equation.

GCF(47702,47714) = 2
LCM(47702,47714) = ( 47702 × 47714) / 2
LCM(47702,47714) = 2276053228 / 2
LCM(47702,47714) = 1138026614

Least Common Multiple (LCM) of 47702 and 47714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47702 and 47714. First we will calculate the prime factors of 47702 and 47714.

Prime Factorization of 47702

Prime Factorization of 47714

Now multiplying the highest exponent prime factors to calculate the LCM of 47702 and 47714.

LCM(47702,47714) = 2¹ × 17¹ × 23¹ × 61¹ × 23857¹
LCM(47702,47714) = 1138026614