What is the Least Common Multiple of 7628 and 7638?

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 7628 and 7638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7628 and 7638, than apply into the LCM equation.

GCF(7628,7638) = 2
LCM(7628,7638) = ( 7628 × 7638) / 2
LCM(7628,7638) = 58262664 / 2
LCM(7628,7638) = 29131332

Least Common Multiple (LCM) of 7628 and 7638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7638. First we will calculate the prime factors of 7628 and 7638.

Prime Factorization of 7628

Prime Factorization of 7638

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7638.

LCM(7628,7638) = 2² × 1907¹ × 3¹ × 19¹ × 67¹
LCM(7628,7638) = 29131332