What is the Least Common Multiple of 34770 and 34783?

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 34770 and 34783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34770 and 34783, than apply into the LCM equation.

GCF(34770,34783) = 1
LCM(34770,34783) = ( 34770 × 34783) / 1
LCM(34770,34783) = 1209404910 / 1
LCM(34770,34783) = 1209404910

Least Common Multiple (LCM) of 34770 and 34783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34770 and 34783. First we will calculate the prime factors of 34770 and 34783.

Prime Factorization of 34770

Prime Factorization of 34783

Now multiplying the highest exponent prime factors to calculate the LCM of 34770 and 34783.

LCM(34770,34783) = 2¹ × 3¹ × 5¹ × 19¹ × 61¹ × 7¹ × 4969¹
LCM(34770,34783) = 1209404910