What is the Least Common Multiple of 34776 and 34785?

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 34776 and 34785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34776 and 34785, than apply into the LCM equation.

GCF(34776,34785) = 9
LCM(34776,34785) = ( 34776 × 34785) / 9
LCM(34776,34785) = 1209683160 / 9
LCM(34776,34785) = 134409240

Least Common Multiple (LCM) of 34776 and 34785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34776 and 34785. First we will calculate the prime factors of 34776 and 34785.

Prime Factorization of 34776

Prime Factorization of 34785

Now multiplying the highest exponent prime factors to calculate the LCM of 34776 and 34785.

LCM(34776,34785) = 2³ × 3³ × 7¹ × 23¹ × 5¹ × 773¹
LCM(34776,34785) = 134409240