What is the Least Common Multiple of 34965 and 34972?

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 34965 and 34972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34965 and 34972, than apply into the LCM equation.

GCF(34965,34972) = 7
LCM(34965,34972) = ( 34965 × 34972) / 7
LCM(34965,34972) = 1222795980 / 7
LCM(34965,34972) = 174685140

Least Common Multiple (LCM) of 34965 and 34972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34965 and 34972. First we will calculate the prime factors of 34965 and 34972.

Prime Factorization of 34965

Prime Factorization of 34972

Now multiplying the highest exponent prime factors to calculate the LCM of 34965 and 34972.

LCM(34965,34972) = 3³ × 5¹ × 7¹ × 37¹ × 2² × 1249¹
LCM(34965,34972) = 174685140