What is the Least Common Multiple of 34905 and 34912?

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 34905 and 34912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34905 and 34912, than apply into the LCM equation.

GCF(34905,34912) = 1
LCM(34905,34912) = ( 34905 × 34912) / 1
LCM(34905,34912) = 1218603360 / 1
LCM(34905,34912) = 1218603360

Least Common Multiple (LCM) of 34905 and 34912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34905 and 34912. First we will calculate the prime factors of 34905 and 34912.

Prime Factorization of 34905

Prime Factorization of 34912

Now multiplying the highest exponent prime factors to calculate the LCM of 34905 and 34912.

LCM(34905,34912) = 3¹ × 5¹ × 13¹ × 179¹ × 2⁵ × 1091¹
LCM(34905,34912) = 1218603360