What is the Least Common Multiple of 34692 and 34705?

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 34692 and 34705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34692 and 34705, than apply into the LCM equation.

GCF(34692,34705) = 1
LCM(34692,34705) = ( 34692 × 34705) / 1
LCM(34692,34705) = 1203985860 / 1
LCM(34692,34705) = 1203985860

Least Common Multiple (LCM) of 34692 and 34705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34692 and 34705. First we will calculate the prime factors of 34692 and 34705.

Prime Factorization of 34692

Prime Factorization of 34705

Now multiplying the highest exponent prime factors to calculate the LCM of 34692 and 34705.

LCM(34692,34705) = 2² × 3¹ × 7² × 59¹ × 5¹ × 11¹ × 631¹
LCM(34692,34705) = 1203985860