What is the Least Common Multiple of 34752 and 34770?

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 34752 and 34770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34752 and 34770, than apply into the LCM equation.

GCF(34752,34770) = 6
LCM(34752,34770) = ( 34752 × 34770) / 6
LCM(34752,34770) = 1208327040 / 6
LCM(34752,34770) = 201387840

Least Common Multiple (LCM) of 34752 and 34770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34752 and 34770. First we will calculate the prime factors of 34752 and 34770.

Prime Factorization of 34752

Prime Factorization of 34770

Now multiplying the highest exponent prime factors to calculate the LCM of 34752 and 34770.

LCM(34752,34770) = 2⁶ × 3¹ × 181¹ × 5¹ × 19¹ × 61¹
LCM(34752,34770) = 201387840