What is the Least Common Multiple of 34700 and 34712?

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 34700 and 34712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34700 and 34712, than apply into the LCM equation.

GCF(34700,34712) = 4
LCM(34700,34712) = ( 34700 × 34712) / 4
LCM(34700,34712) = 1204506400 / 4
LCM(34700,34712) = 301126600

Least Common Multiple (LCM) of 34700 and 34712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34700 and 34712. First we will calculate the prime factors of 34700 and 34712.

Prime Factorization of 34700

Prime Factorization of 34712

Now multiplying the highest exponent prime factors to calculate the LCM of 34700 and 34712.

LCM(34700,34712) = 2³ × 5² × 347¹ × 4339¹
LCM(34700,34712) = 301126600