What is the Least Common Multiple of 34680 and 34700?

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 34680 and 34700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34680 and 34700, than apply into the LCM equation.

GCF(34680,34700) = 20
LCM(34680,34700) = ( 34680 × 34700) / 20
LCM(34680,34700) = 1203396000 / 20
LCM(34680,34700) = 60169800

Least Common Multiple (LCM) of 34680 and 34700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34680 and 34700. First we will calculate the prime factors of 34680 and 34700.

Prime Factorization of 34680

Prime Factorization of 34700

Now multiplying the highest exponent prime factors to calculate the LCM of 34680 and 34700.

LCM(34680,34700) = 2³ × 3¹ × 5² × 17² × 347¹
LCM(34680,34700) = 60169800