What is the Least Common Multiple of 34671 and 34680?

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 34671 and 34680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34671 and 34680, than apply into the LCM equation.

GCF(34671,34680) = 3
LCM(34671,34680) = ( 34671 × 34680) / 3
LCM(34671,34680) = 1202390280 / 3
LCM(34671,34680) = 400796760

Least Common Multiple (LCM) of 34671 and 34680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34671 and 34680. First we will calculate the prime factors of 34671 and 34680.

Prime Factorization of 34671

Prime Factorization of 34680

Now multiplying the highest exponent prime factors to calculate the LCM of 34671 and 34680.

LCM(34671,34680) = 3¹ × 7¹ × 13¹ × 127¹ × 2³ × 5¹ × 17²
LCM(34671,34680) = 400796760