What is the Least Common Multiple of 34874 and 34892?

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 34874 and 34892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34874 and 34892, than apply into the LCM equation.

GCF(34874,34892) = 2
LCM(34874,34892) = ( 34874 × 34892) / 2
LCM(34874,34892) = 1216823608 / 2
LCM(34874,34892) = 608411804

Least Common Multiple (LCM) of 34874 and 34892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34874 and 34892. First we will calculate the prime factors of 34874 and 34892.

Prime Factorization of 34874

Prime Factorization of 34892

Now multiplying the highest exponent prime factors to calculate the LCM of 34874 and 34892.

LCM(34874,34892) = 2² × 7¹ × 47¹ × 53¹ × 11¹ × 13¹ × 61¹
LCM(34874,34892) = 608411804