What is the Least Common Multiple of 34905 and 34920?

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 34920 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 34920, than apply into the LCM equation.

GCF(34905,34920) = 15
LCM(34905,34920) = ( 34905 × 34920) / 15
LCM(34905,34920) = 1218882600 / 15
LCM(34905,34920) = 81258840

Least Common Multiple (LCM) of 34905 and 34920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34905 and 34920. First we will calculate the prime factors of 34905 and 34920.

Prime Factorization of 34905

Prime Factorization of 34920

Now multiplying the highest exponent prime factors to calculate the LCM of 34905 and 34920.

LCM(34905,34920) = 3² × 5¹ × 13¹ × 179¹ × 2³ × 97¹
LCM(34905,34920) = 81258840