What is the Least Common Multiple of 34678 and 34688?

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 34678 and 34688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34678 and 34688, than apply into the LCM equation.

GCF(34678,34688) = 2
LCM(34678,34688) = ( 34678 × 34688) / 2
LCM(34678,34688) = 1202910464 / 2
LCM(34678,34688) = 601455232

Least Common Multiple (LCM) of 34678 and 34688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34678 and 34688. First we will calculate the prime factors of 34678 and 34688.

Prime Factorization of 34678

Prime Factorization of 34688

Now multiplying the highest exponent prime factors to calculate the LCM of 34678 and 34688.

LCM(34678,34688) = 2⁷ × 7¹ × 2477¹ × 271¹
LCM(34678,34688) = 601455232