What is the Least Common Multiple of 34905 and 34916?

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 34916 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 34916, than apply into the LCM equation.

GCF(34905,34916) = 1
LCM(34905,34916) = ( 34905 × 34916) / 1
LCM(34905,34916) = 1218742980 / 1
LCM(34905,34916) = 1218742980

Least Common Multiple (LCM) of 34905 and 34916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34905 and 34916. First we will calculate the prime factors of 34905 and 34916.

Prime Factorization of 34905

Prime Factorization of 34916

Now multiplying the highest exponent prime factors to calculate the LCM of 34905 and 34916.

LCM(34905,34916) = 3¹ × 5¹ × 13¹ × 179¹ × 2² × 7¹ × 29¹ × 43¹
LCM(34905,34916) = 1218742980