What is the Least Common Multiple of 34892 and 34903?

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 34892 and 34903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34892 and 34903, than apply into the LCM equation.

GCF(34892,34903) = 11
LCM(34892,34903) = ( 34892 × 34903) / 11
LCM(34892,34903) = 1217835476 / 11
LCM(34892,34903) = 110712316

Least Common Multiple (LCM) of 34892 and 34903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34892 and 34903. First we will calculate the prime factors of 34892 and 34903.

Prime Factorization of 34892

Prime Factorization of 34903

Now multiplying the highest exponent prime factors to calculate the LCM of 34892 and 34903.

LCM(34892,34903) = 2² × 11¹ × 13¹ × 61¹ × 19¹ × 167¹
LCM(34892,34903) = 110712316