What is the Least Common Multiple of 30616 and 30636?

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 30616 and 30636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30616 and 30636, than apply into the LCM equation.

GCF(30616,30636) = 4
LCM(30616,30636) = ( 30616 × 30636) / 4
LCM(30616,30636) = 937951776 / 4
LCM(30616,30636) = 234487944

Least Common Multiple (LCM) of 30616 and 30636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30616 and 30636. First we will calculate the prime factors of 30616 and 30636.

Prime Factorization of 30616

Prime Factorization of 30636

Now multiplying the highest exponent prime factors to calculate the LCM of 30616 and 30636.

LCM(30616,30636) = 2³ × 43¹ × 89¹ × 3² × 23¹ × 37¹
LCM(30616,30636) = 234487944