What is the Least Common Multiple of 41702 and 41712?

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 41702 and 41712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41702 and 41712, than apply into the LCM equation.

GCF(41702,41712) = 2
LCM(41702,41712) = ( 41702 × 41712) / 2
LCM(41702,41712) = 1739473824 / 2
LCM(41702,41712) = 869736912

Least Common Multiple (LCM) of 41702 and 41712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41702 and 41712. First we will calculate the prime factors of 41702 and 41712.

Prime Factorization of 41702

Prime Factorization of 41712

Now multiplying the highest exponent prime factors to calculate the LCM of 41702 and 41712.

LCM(41702,41712) = 2⁴ × 29¹ × 719¹ × 3¹ × 11¹ × 79¹
LCM(41702,41712) = 869736912