What is the Least Common Multiple of 34956 and 34965?

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 34956 and 34965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34956 and 34965, than apply into the LCM equation.

GCF(34956,34965) = 9
LCM(34956,34965) = ( 34956 × 34965) / 9
LCM(34956,34965) = 1222236540 / 9
LCM(34956,34965) = 135804060

Least Common Multiple (LCM) of 34956 and 34965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34956 and 34965. First we will calculate the prime factors of 34956 and 34965.

Prime Factorization of 34956

Prime Factorization of 34965

Now multiplying the highest exponent prime factors to calculate the LCM of 34956 and 34965.

LCM(34956,34965) = 2² × 3³ × 971¹ × 5¹ × 7¹ × 37¹
LCM(34956,34965) = 135804060