What is the Least Common Multiple of 7616 and 7636?

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 7616 and 7636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7616 and 7636, than apply into the LCM equation.

GCF(7616,7636) = 4
LCM(7616,7636) = ( 7616 × 7636) / 4
LCM(7616,7636) = 58155776 / 4
LCM(7616,7636) = 14538944

Least Common Multiple (LCM) of 7616 and 7636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7616 and 7636. First we will calculate the prime factors of 7616 and 7636.

Prime Factorization of 7616

Prime Factorization of 7636

Now multiplying the highest exponent prime factors to calculate the LCM of 7616 and 7636.

LCM(7616,7636) = 2⁶ × 7¹ × 17¹ × 23¹ × 83¹
LCM(7616,7636) = 14538944