What is the Least Common Multiple of 34675 and 34689?

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 34675 and 34689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34675 and 34689, than apply into the LCM equation.

GCF(34675,34689) = 1
LCM(34675,34689) = ( 34675 × 34689) / 1
LCM(34675,34689) = 1202841075 / 1
LCM(34675,34689) = 1202841075

Least Common Multiple (LCM) of 34675 and 34689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34675 and 34689. First we will calculate the prime factors of 34675 and 34689.

Prime Factorization of 34675

Prime Factorization of 34689

Now multiplying the highest exponent prime factors to calculate the LCM of 34675 and 34689.

LCM(34675,34689) = 5² × 19¹ × 73¹ × 3¹ × 31¹ × 373¹
LCM(34675,34689) = 1202841075