What is the Least Common Multiple of 34758 and 34776?

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 34758 and 34776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34758 and 34776, than apply into the LCM equation.

GCF(34758,34776) = 18
LCM(34758,34776) = ( 34758 × 34776) / 18
LCM(34758,34776) = 1208744208 / 18
LCM(34758,34776) = 67152456

Least Common Multiple (LCM) of 34758 and 34776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34758 and 34776. First we will calculate the prime factors of 34758 and 34776.

Prime Factorization of 34758

Prime Factorization of 34776

Now multiplying the highest exponent prime factors to calculate the LCM of 34758 and 34776.

LCM(34758,34776) = 2³ × 3³ × 1931¹ × 7¹ × 23¹
LCM(34758,34776) = 67152456